Mathematical Publications of Udo Simon


Current information as of Tue May 12, 2005
The order of the items: The oldest is the first.

[M]: Lecture Notes and Monographs

1.
H. Huck, R. Roitzsch, U.Simon, W. Vortisch, R. Walden,
B. Wegner, W.Wendland:
Beweismethoden der Differentialgeometrie im Großen.
Lecture Notes Math. Springer 335 (1973).
2.
U.Simon, A. Schwenk-Schellschmidt, H. Viesel:
Introduction to the affine differential geometry of hypersurfaces.
Lecture Notes. Science Univ. Tokyo Press. 1991.
(ISBN 3 7983 15299). [MR 94b: 53023], [Zbl.780, 53002, 1994].
3.
A. M. Li, U.Simon, G. Zhao:
Global Affine Differential Geometry of Hypersurfaces.
De Gruyter Expositions Math. 11, 328 pages, 1993.
[MR95e:53016; Zbl. 808 53002; 1995].
4.
A. M. Li, R. Xu, U.Simon, F. Jia:
Affine Bernstein Problems and Monge-Ampère Equations.
World Scientific Singapore 2010

[R]: Original research papers

1.
U. Simon:
Integralformeln zur Kennzeichnung von Hyperflächen durch
Krümmungen und Stützabstand.
Diss. FU Berlin 1965.
2.
U. Simon:
Minkowskische Integralformeln und ihre Anwendung in der
Differentialgeometrie im Großen.
Math. Annalen 173 (1967), 307-321.
3.
U. Simon:
Kennzeichnungen von Sphären.
Math. Ann. 175 (1968), 81-88.
4.
U. Simon:
Zur Relativgeometrie:
Symmetrische Zusammenhänge auf Hyperflächen.
Math. Zeitschrift 106 (1968), 26-46.
5.
U. Simon, A. Weinstein:
Anwendungen der de Rhamschen Zerlegung auf Probleme der
lokalen Flächentheorie.
manuscripta math. 1(1969), 139-146.
6.
U. Simon:
Probleme der lokalen und globalen mehrdimensionalen Differentialgeometrie.
manuscripta math. 2 (1970), 241-286.
7.
U. Simon, W. Wendland:
Zur Indexmethode in der Differentialgeometrie im Großen.
Math. Zeitschrift 116 (1970), 242-246.
8.
U. Simon:
II-Verbiegungen von Eiflächen.
Archiv Math. 22 (1971), 319-324.
9.
U. Simon:
Kongruenzsätze der affinen Differentialgeometrien.
Math. Zeitschrift 120 (1971), 365-368.
10.
U. Simon:
Pseudogeodätische Linien auf Flächen.
Acta math. Sci. Hung. Budapest 22 (1971), 325-330.
11.
U. Simon:
On the inner geometry of the second fundamental form.
Mich. Math. J. 19 (1972), 129-132.
12.
U. Simon:
Charakterisierungen von Relativsphären und Ellipsoiden.
Archiv. Math. 24 (1973), 100-104.
13.
U. Simon:
Compact conformally symmetric spaces.
Math. Zeitschrift 132 (1973), 173-177.
14.
U. Simon:
On differential operators of second order on
Riemannian manifolds of nonpositive curvature.
Coll. Math. 31 (1974), 223-229.
15.
U. Simon:
A further method in global differential geometry.
Abh. Math. Sem. Hamburg 44 (1975), 52-69.
16.
U. Simon:
Characterizations of the sphere by the curvature
of the second fundamental form.
Proc. AMS 55 (1976), 382-384.
17.
U. Simon:
Isometries with spheres.
Math. Z. 153 (1977), 23-27.
18.
U. Simon:
Submanifolds with parallel mean curvature vector
and the curvature of minimal submanifolds of spheres.
Archiv Math. 29 (1977), 106-112.
19.
U. Simon:
Einstein spaces isometrically diffeomorphic to a sphere.
manuscripta math. 22 (1977), 1-5.
20.
U. Simon:
Curvature bounds for the spectrum of closed Einstein spaces.
Can. J. Math. 30 (1978), 1087-1091.
21.
U. Simon, F.-J. Lange:
Eigenvalues and eigenfunctions of Riemannian manifolds.
Proc. AMS 77 (1979), 237-242.
22.
K. Benko, M. Kothe, K.D. Semmler, U. Simon:
Eigenvalues of the Laplacian and curvature.
Coll. Math. 42 (1979), 19-31.
23.
U. Simon:
The Pick invariant in equiaffine differential geometry.
Abh. Math. Sem. Hamburg 53 (1983), 225-228.
24.
V. Oliker, U. Simon:
Codazzi tensors and equations of Monge-Ampère type
on compact manifolds of constant sectional curvature.
J. reine angew. Math. 342 (1983), 35-65.
25.
M. Kozlowski, U. Simon:
Minimal immersions of 2-manifolds into spheres.
Math. Z. 186 (1984), 377-382 .
26.
U. Simon:
Hypersurfaces in equiaffine differential geometry.
Geom. Dedicata 17 (1984), 157-168.
27.
A. Schwenk, U. Simon:
Hypersurfaces with constant equiaffine mean curvature.
Archiv Math. 46 (1986), 85-90.
28.
M. Kozlowski, U. Simon:
Hyperflächen mit äquiaffiner Einsteinmetrik.
In: Mathematica - ad diem natalem septuagesimum.
Festschrift E. Mohr zum 75. Geburtstag.
FB 3 TU Berlin (1985), 179-190.
29.
G. Penn, U. Simon:
Deformations of Hypersurfaces in Equiaffine Differential Geometry.
Annals Global Analysis Geometry 5 (1987), 123-131.
30.
U. Simon:
The fundamental theorem in affine hypersurface theory.
Geom. Dedicata 26 (1988), 125-137.
31.
N. Bokan, K. Nomizu, U. Simon:
Affine Hypersurfaces with Parallel Cubic Forms.
Tôhoku J.Math. 42,101-108 (1990).
32.
U. Simon:
Local classification of two dimensional affine spheres
with constant curvature metric.
Diff. Geom. and Appl. 1 (1991), 123-132.
33.
L. Vrancken, A.M. Li, U. Simon:
Affine spheres with constant sectional curvature.
M. Z. 206 (1991) , 651-658.
34.
V. Oliker, U. Simon:
Affine geometry and polar hypersurfaces.
In: Analysis and Geometry: Trends in Research and Teaching
(B. Fuchssteiner, W. A. J. Luxemburg, eds.)
BI Mannheim-Zuerich (1992), 87-112.
35.
U. Simon:
Global uniqueness for ovaloids in Euclidean and affine differential geometry.
Tôhoku J. Math. 44 (1992), 327-334.
36 a.
U. Simon:
The uniqueness problem for Monge-Ampère equations
on projectively flat manifolds.
Bull. Soc. Math. Belg. 45, 1, Ser. B. (1993), 25-34.
36 b.
U. Simon:
The Uniqueness Problem for Monge-Ampère Equations
on Projectively Flat Manifolds (in Russian)
In: In Memoriam N. I. Lobatschevskii, (P.A. Shirokov, ed.)
vol. III, Part 1, Kazan University (1995), 160-170.
37.
U. Pinkall, A. Schwenk-Schellschmidt, U. Simon:
Geometric Methods for Solving Codazzi and Monge-Ampère Equations.
Math. Annalen 298 (1994), 89 - 100.
38.
N. Bokan, P. Gilkey, U. Simon:
Applications of Spectral Geometry to Affine and Projective Geometry.
Contributions Algebra and Geometry 35 (1994), 283-314.
39.
U. Simon:
Transformation Techniques for Partial Differential Equation
on Projectively Flat Manifolds.
Results in Mathematics 27 (1995), 160-187.
40.
R. B. Gardner, M. Kriele, U. Simon:
Generalized Spherical Functions on Projectively Flat Manifolds.
Results in Mathematics 27 (1995), 41-50.
41.
N. Bokan, P. Gilkey, U. Simon:
Relating the second and fourth order terms in the asymptotic
expansion of the heat equation.
J. Geometry 58 (1997), 61-65.
42.
N. Bokan, P. Gilkey, U. Simon:
Second order local affine invariants (in Russian).
Izvestija Vusov Matematika, (Kazan) 5(396), (1995), 11-15.
43.
H.L. Liu, U. Simon, C.P.Wang:
Conformal structures in affine geometry:
Complete Tchebychev hypersurfaces.
Abhandlungen Math. Seminar Hamburg 66 (1996), 249-262.
44.
A.M.Li, H.-L. Liu, A. Schwenk-Schellschmidt, U. Simon, C. P. Wang:
Cubic form methods and relative Tchebychev hypersurfaces.
Geometriae Dedicata 66 (1997), 203-221.
45.
C. Scharlach, U. Simon, L. Verstraelen, L. Vrancken:
A new intrinsic curvature invariant for centroaffine hypersurfaces.
Contributions to Algebra and Geometry 38 (1997), 437-458.
46.
A.M.Li, U. Simon, B. Chen:
A two-step Monge-Ampère procedure for solving a fourth
order PDE for affine hypersurfaces with constant curvature.
J. reine angew. Math. 487 (1997), 179-200.
47.
N. Bokan, P. Gilkey, U. Simon:
Asymptotic spectra for Weyl geometries.
Analele Stiintifice ale Universitatii "Al. I. Cuza" DIN IASI, tom. 42,
Supliment s. I. a Matematica (1996), 59-71.
48.
N. Bokan, P. Gilkey, U. Simon:
Geometry of differential operators on Weyl manifolds.
Phil. Trans. Proc. Royal Soc. London, Serie A, 453 (1997), 2527-2536.
49.
H.L. Liu, U. Simon, C.P. Wang:
Codazzi tensors and the topology of surfaces.
Annals Global Analysis Geometry 16 (1998), 189-202.
50.
H.L. Liu, U. Simon, C.P. Wang:
Higher order Codazzi tensors on conformally flat spaces.
Contributions to Algebra and Geometry 39 (1998), 329-348.
51.
A.M. Li, U. Simon, G. Zhao:
Hypersurfaces with Prescribed Affine Gauss-Kronecker Curvature.
Geom. Dedicata 81 (2000), 141-166.
52.
H.L. Liu, U. Simon, L. Verstraelen, C.P. Wang:
The third fundamental form metric for hypersurfaces in nonflat space forms.
J. Geometry 65 (1999), 130-142.
53.
N. Bokan, P. Gilkey, U. Simon:
Spectral invariants of affine hypersurfaces.
Publications de l' Institut Mathématique, Nouvelle série, 64 (78) (1998), 133-145.
54.
A. Schwenk-Schellschmidt, U. Simon, M. Wiehe:
Eigenvalue equations in curve theory.
Part I: Characterizations of Conic Sections.
Results in Mathematics 40 (2001), 273-285.
55.
N. Bokan, M. Djoric, U. Simon:
Geometric structures as determined by the volume of geodesic balls.
Results Math. 43 (2003), 205-234.
56.
U. Simon:
The centroaffine volume of generalized geodesic balls
under inversion at the sphere,
Results Math. 43 (2003), 343-358.
57.
H. Li, U. Simon:
Quantization of Curvature for Compact Surfaces in Sn;.
Mathematische Zeitschrift 245 (2003), 201-216.
58.
A.-M. Li, H. Li, U. Simon:
Centroaffine Bernstein Problems.
Differential Geometry and Applications 20 (2004), 331-356.
59.
U. Simon:
Affine Hypersurface Theory Revisited:
Gauge Invariant Structures (English version).
Russian Mathematics (Izv. vuz)
48 (2004) 48-73.
59.a
U. Simon: Affine Hypersurface Theory Revisited:
Gauge Invariant Structures (Russian version).
Russian Mathematics (Izv. vuz) 11 (2005), 53-81.
60.
N. Blazic, P. Gilkey, S. Nikcevic, U. Simon:
Algebraic theory of affine curvature tensors.
Archivum mathematicum (Brno) 42 (2006), 147-168
61.
U. Simon:
Yau's Problem on a Characterization of Rotational Ellipsoids.
Asian Math. J. 11 (2007), 361-372.
62.
Z. Hu, S. Nishikawa, U. Simon:
Critical Metrics of the Schouten Functional.
J. Geom. 98 (2010), 91-113.
63.
St. Müller, A. Schwenk-Schellschmidt, U. Simon:
Eigenvalue equations in curve theory.
Part II: Evolutes and Involutes.
Results in Math. 50 (2007), 109-124.
64
Z. Hu, H. Li, U. Simon:
Schouten curvature functions on locally
conformally flat Riemannian manifolds.
J. Geom. 88 (2008), 75-100
65
M. Brozos-Vázquez, P. Gilkey, S. Nikcevic, U. Simon:
Projectively Osserman manifolds.
Publicationes Mathematicae (Debrecen) 72 (2008), 359-370.
66
U. Simon, H. Trabelsi, L. Vrancken:
Complete hyperbolic Tchebychev hypersurfaces.
J. Geom. 89 (2008), 148-159.
67
Z. Hu, H. Li, U. Simon, L. Vrancken:
On locally strongly convex affine hypersurfaces
with parallel cubic form. Part I.
Diff. Geom. Appl. 26 (2007), 1-19.
68
P. Gilkey, S. Nikcevic, U. Simon:
Geometric theory of equiaffine curvature tensors.
Results Math. 56 (2009), 275-317.
69
U. Simon, A. Schwenk-Schellschmidt, L. Vrancken:
Codazzi-equivalent Riemannian metrics.
Asian Math. J., 14 (2010), 291-302
70
A.Schwenk-Schellschmidt, U. Simon:
Codazzi-equivalent affine connections.
Results Math. 56 (2009), 211-229.
71
P. Gilkey, St. Nikcevic, U. Simon:
Geometric realizations, curvature decompositions, and Weyl manifolds.
J. Geometry and Physics 61 (2011), 270-27.
72
P. Gilkey, St. Nikcevic, U. Simon:
Curvature properties of Weyl geometries.
Results Math. 59 (2011), 523-544.
73
A.M. Li, R. Xu, U. Simon, F. Jia:
Notes on Chern's Affine Bernstein Conjecture.
Results Math. 60 (2011), 133-155.
74
B. Opozda, U. Simon:
Parallel Hypersurfaces.
Ann. Polon. Math.,
to appear

[R-P]: Original research papers in Proceedings (refereed)

1.
V. Oliker, U. Simon:
The Christoffel problem in relative differential geometry.
Topics in differential geometry.
Proc. Conf. Diff. Geom. Hajduszoboszlo (Hungary).
North. Holl. Publ. Co. (1984), 973-1000.
2.
U. Simon:
Connections and conformal structure in affine differential geometry.
In: Diff. Geom.and its Applications (Eds.: D. Krupka, A. Svec).
D. Reidel Publ. Comp. (1987), 315-327.
3.
U. Simon, C. P. Wang:
Local theory of affine 2-spheres.
Proc. 1990 Summer Institut Differential Geometry
(eds.:R. E. Greene, S. T. Yau).
Proc. Symposia Pure Math. 54, Part 3 (1993), 585 -598.
4.
K. Nomizu, U. Simon:
Notes on conjugate connections.
In: Geometry and Topology of Submanifolds IV.
Proc. Conf. Diff. Geom. and Vision, Leuven 1991
(F. Dillen, L. Verstraelen; eds.)
World Scientific Singapore (1992), 152-172.
5.
U. Simon:
Conformal and Projective Structures on Ovaloids.
Geometry and Topology of Submanifolds, V.
Proc. Conf. Diff. Geom. Vision, Leuven (Belgium), July 1992.
(Eds.: F. Dillen, L. Verstraelen, L. Vrancken, I. van de Woestijne).
World Scientific (1993), 254-259.
6.
F. Brito, H.L. Liu, U. Simon, C.P. Wang:
Hypersurfaces in space forms with some constant curvature functions.
In: Geometry and Topology of Submanifolds IX
(F. Defever et al., eds.),
World Scientific Singapore, (1999), 48-63.
7.
F. Brito, H.L. Liu, V.I. Oliker, U. Simon, C.P. Wang:
Polar hypersurfaces in spheres.
Geometry and Topology of Submanifolds IX
(F.Defever et al., eds.).
World Scientific Singapore (1999), 33-47.
8.
J. Leder, A. Schwenk-Schellschmidt, U. Simon, M. Wiehe:
Generating higher order Codazzi tensors by functions.
Geometry and Topology of Submanifolds IX
( F.Defever et al.eds.).
World Scientific Singapore (1999), 174-191.
9.
L. Vrancken, Ch. Wang, U. Simon, M. Wiehe:
Intrinsic and Extrinsic Geometry of Ovaloids and Rigidity.
Geometry and Topology of Submanifolds X,
W.H. Chen et al. (eds).
World Scientific, Singapore (2000), 284-293.
10.
N. Bokan, M. Djoric, U. Simon:
An extension of A. Gray's investigations
on small geodesic balls.
in: Contemporary Mathematics 288, Global Differential Geometry.
The Math. Legacy of Alfred Gray
Int. Congress Diff. Geom., Bilbao 2000, AMS (2001), 268-272.
11.
U. Simon, K. Voss, L. Vrancken, M. Wiehe:
Surfaces with prescribed Weingarten-Operator.
Banach Center Publications 57 (2002), 171-178.
12.
N. Blazic, P. Gilkey, S. Nikcevic, U. Simon:
The Spectral Geometry of the Weyl Conformal Tensor,
Banach Center Publications 69 (2005), 195-203.

[S]: Survey papers

1.
E. Glässner, U. Simon:
Zur Geometrie der zweiten Grundform.
Überblicke Math. 6 (1973), 197-235.
2.
U. Simon: Codazzi tensors and eigenfunctions.
Proc. Conf. Algebra Geom. Kuwait Univ.,
Alden Press Oxford (1981), 165-170.
3.
U. Simon, H. Wissner:
Geometry of the Laplace Operator.
Proc. Conf. Algebra Geom. Kuwait Univ.
Alden Press Oxford, (1981), 171-191.
4.
U. Simon, H. Wissner:
Geometrische Aspekte des Laplace Operators.
Jahrbuch Überblicke Math. (1982), 73-92.
5.
U. Simon:
Dirichlet problems and the Laplacian in affine differential geometry.
Lecture Note Math. 1369 (1989), 243-260.
6.
U. Simon:
Recent developments in affine differential geometry.
In: Eds.: N. Bokan, I. Comic, J. Nikic and M. Prvanovic.
Proceedings Conference Differential Geometry Applications,
June 26 - July 3, 1988. Dubrovnik,
Novi Sad (1988), 327-347.
7.
U. Simon:
Codazzi transformations.
Geometry and Topology of Submanifolds VII
(F. Dillen et al., eds.).
World Scientific, Singapore (1995), 248-252.
8.
H.L. Liu, M. Magid, Ch. Scharlach, U. Simon:
Recent developments in affine differential geometry,
Geometry and Topology of Submanifolds VIII,
World Scientific, Singapore (1996), 1-15 and 293-408.
9.
U. Simon:
Affine differential geometry.
In: Handbook of Differential Geometry,
(eds. F. Dillen, L. Verstraelen), vol. I,
Elsevier Science (2000), 905-961.
10.
C. Lange, K. Polthier, U. Simon:
Zur Geometrie von Frühstückseiern.
Mathematische Semesterberichte 56 (2009), 1-14.
11.
U. Simon:
A Survey on Codazzi Tensors.
Forum Berliner Math. Gesellschaft 8 (2009), 97-106
12.
U. Simon, R. Xu:
Geometric modelling techniques for the solution
of certain Monge-Ampère equations.
Advances of Geometric Analysis (2011), 19-42,

[S-C-r]: Short communications, Proceedings (refereed)

1.
U. Simon:
Zum H-Satz in der mehrdimensionalen Differentialgeometrie.
Berichte Math. Forschungsinstitut Oberwolfach 4 (1971), 299-305.
2.
U. Simon:
Small eigenvalues of the Laplacian.
Proc. CSSR-GDR-Polish Conf. Diff. Geom. Appl.;
Univ. Karlova, Prag (1981), 67-72.
3.
U. Simon:
Codazzi tensors.
Lecture Notes Math. Springer 838 (1981), 289-296.
4.
U. Simon:
Estimates for eigenvalues of the Laplacian on compact
Riemannian manifolds.
Proc. Int. Conf. Spectral Theory Diff. Operators,
Univ. Alabama, Birmingham 1981, Eds. I. Knowles, R. Lewis.
North Holl. (1981), 371-374.
5.
U. Simon:
Hypersurfaces in equiaffine differential geometry and eigenvalue problems.
Proc. Conf. Diff. Geom. Appl., Nové Mesto na Morave (CSSR) 1983.
Part I (1984),127-136.
6.
U. Simon:
Eigenvalues of the Laplacian and minimal immersions into spheres.
In: Diff. Geometry (L.A. Cordero, ed.),
Research Notes Math. 131 (Pitman Adv. Publ. Program) (1985), 115-120.

[S-C]: Short communications, Proceedings

1.
U. Simon:
Eigenvalues of the Laplacian and curvature.
Proc. Czech.-GDR-Polish Sci. School Diff. Geom.,
Polish Acad. Sci., Inst. Math. (1978), 186-189.
2.
U. Simon:
Minimal submanifolds of spheres.
Proc. Czech.-GDR-Polish Sci. School Diff. Geom.,
Polish Acad. Sci., Inst. Math. (1978), p. 190.
3.
V. Oliker, U. Simon:
A rigidity theorem for submanifolds of spheres.
Prace Naukowe Politechniki Szczecinskiej Nr.323; Inst. Mat. Nr. 9;
Internat. Sem. Diff. Geom. Szczecin (1987), 89-91.
4.
U. Simon:
Affine Hypersurface Theory Revisited.
Gauge Invariant Structures.
J. Geometry 84 (2005), 199-200.
5.
U. Simon:
Schouten curvature functions on conformally flat manifolds.
Proc. Conf. .Riemannian Geometry and Applications
Brasov, June 21-25, 2007,
Transilvania Univ. Brasov,
Vol. 14 (49) Series B (2007), Supplement, 293-314
ISSN 1223-964X

[R]: Reports

1.
Z. Hu, S. Nishikawa, U. Simon:
Critical metrics of the Schouten functional.
Oberwolfach Reports, Oct. 2006,
EMS Publ. House
2.
A. Schwenk-Schellschmidt,U. Simon:
Eigenwertgleichungen in der Kurventheorie -
Charakterisierungen von Kurven, deren Abwicklung und Evolute durch Streckung ineinander überführbar sind.
Forschungsbericht TFH Berlin (Hrsg. R. Thuemer, G. Goerlitz)
2006, 20-23.
ISBN 3-93576-07-3,

[C]: Commentaries

1.
W. Burau, U. Simon:
Blaschkes Beiträge zur affinen Differentialgeometrie.
In: Wilhelm Blaschke, Ges. Werke, Thales Verlag,
vol. IV (1985), 11-34.
2.
U. Simon:
Zur Entwicklung der affinen Differentialgeometrie nach Blaschke.
In: Wilhelm Blaschke, Ges. Werke, Thales Verlag,
vol. IV (1985), 35-88.
3.
U. Simon:
The influence of Katsumi Nomizu on affine differential geometry.
Geometry and Topology of Submanifolds VII.
Proc. Conf. Diff. Geometry Leuven 1994.
World Scientific. (1995), 33-51.
4.
F. Hirzebruch, U. Simon:
Nachruf auf Shiing-shen Chern.
Jahresbericht der DMV 108, Heft 8(2006), 197-217.
Chinese Translation:
Mathematical Advance in Translation 3 (2008), 257-269
4.
U. Simon, E-H. Tjaden, H. Wefelscheid:
Shiing-Shen Chern's 100th birthday.
Results in Mathematics, 60 (2011), 13-51

Editorial work

[E-P]: (Co-)Editor Conference-Proceedings

1.
D. Ferus, W. Kühnel, U. Simon, B. Wegner (eds.):
Global differential geometry and global analysis.
Proceedings Coll. TU Berlin 1979.
Lecture Notes Math. Springer 838 (1981).
2.
D. Ferus, R. Gardner, S. Helgason ,U. Simon (eds.):
Global Diff. Geom. and Global Analysis.
Lecture Notes Math. Springer 1156 (1985).
3.
U. Simon (ed.):
Proceedings Conference "Affine Differentialgeometrie"
Print: Birkhäuser (Basel), distribution: TU Berlin, 1988.
ISBN 3 7983 11927.
4.
B. Wegner, D. Ferus, U. Pinkall, U. Simon (eds.):
Global Differential Geometry and Global Analysis.
Proceedings, Berlin 1990,
Lecture Notes in Mathematics 1481 (1991).
5.
K. Nomizu, U. Pinkall, U. Simon (eds.):
Proceedings Conference "Affine Differential Geometry."
Print: Birkhäuser; distribution: TU Berlin (ISBN 3 7983 14608) 1991.
6.
F. Dillen, M. Magid, U. Simon, I.v.d. Woestijne, L. Verstraelen (eds.):
Geometry and Topology of Submanifolds VII.
Diff. Geom. in Honour of Prof. K. Nomizu.
Proceedings Conf. KU Leuven, KU Brussel, July 1994.
World Scientific, Singapore, 1995.
7.
F. Dillen, B. Komrakov, U. Simon, I.Van de Woestijne, L. Verstraelen (eds.):
Geometry and Topology of Submanifolds VIII,
World Scientific, Singapore, 1996.
8.
W.H. Chen, A.-M. Li, U. Simon, L. Verstraelen, C.P. Wang, M. Wiehe (eds.):
Geometry and Topology of Submanifolds X,
World Scientific, Singapore, 2000.
9.
B. Opozda, U. Simon, M. Wiehe (eds.):
PDEs, Submanifolds and Affine Differential Geometry,
Proc. Conference Banach Center 2000,
Banach Center Publications, vol. 57, 2002
10.
B. Opozda, U. Simon, M. Wiehe (eds.):
PDEs, Submanifolds and Affine Differential Geometry.
Proc. Conference Banach Center Bedlewo 2003,
Banach Center Publications, vol. 69, 2005.
ISSN 0137-6934
11.
F. Dillen, U. Simon, L. Vrancken (eds.):
Symposium on the differential geometry of submanifolds.
Lab. Math. Appl. Univ. Valenciennes, 2007
ISBN: 978-1-8479-9016-7
12.
U. Simon, L. Vrancken (eds.):
Proc. Conf. Diff. Geom. PDEs, U Brasilia, 2010
Results Math. 60 (2011)

[E-CW]: Co-Editor Collected Works

1.
W. Burau, S. S. Chern, K. Leichtweiß, H. R. Müller, L. A. Santalo,
U. Simon, K. Strubecker (eds.):
Wilhelm Blaschke, Ges. Werke,
Thales Verlag, vol.'s 1-6 (1981-1986).

[M]: Co-Editor Memorial Volume

1.
U. Simon, H. Wefelscheid, L. Vrancken (eds.):
In memory of Katsumi Nomizu
Results math. 56 (2009), MR 2575848.

[F] Editor Festschrift

1.
A. Kreuzer, U. Simon, L.Vrancken (eds.):
Festschrift for H. Wefelscheid
Results Math. 59 (2011), 199-620.

[E-J]: Editor Journals

1.
1974-1979 Zentralblatt für Mathematik
2.
Results in Mathematics, Birkhäuser (Basel)
1994 - 2007 Editorial Board
2007 - Assoc. Managing Editor
3.
2007 - International Electronic Journal of Geometry

[B-PL]: Bibliographies and Problem Lists

1.
U. Simon:
Conjectures and Open Problems.
Results in Mathematics 13 (1988), 192-198.
2.
U. Simon:
Bibliography Affine Differential Geometry.
In: Wilhelm Blaschke, Ges. Werke, Thales Verlag,
vol. 4 (1985), 72-88.
3.
U. Simon:
Bibliography Affine Differential Geometry.
In: Proceedings Conference "Affine Differentialgeometrie"
Print. Birkhäuser (Basel), distribution: TU Berlin,
433-443 (1988).
4.
U. Simon:
Conjectures and Open Problems.
Results in Mathematics 20 (1991), 587-588.
5.
U. Simon:
Bibliography on Affine Differential Geometry,
In: Proc. Conference "Affine Differential Geometry"
Oberwolfach 1991,
Print: Birkhäuser (Basel); distribution: TU Berlin,
(ISBN 3 7983 14608) (1991), 797-809.
6.
Th. Binder, U. Simon, M. Wiehe:
Affine Bibliography 1998,
In: Geometry and Topology of Submanifolds X,
(F. Defever et al., eds), World Scientific, Singapore (2000), 1-13.
7.
Th. Binder, U. Simon:
Progress in Affine Differential Geometry
- Problem List and Continued Bibliography,
In: Geometry and Topology of Submanifolds X
(W.H. Chen et al., eds), World Scientific, Singapore (2000), 1-17.
8.
B. Opozda, U. Simon, M. Wiehe:
Problem List,
Banach Center Publications, vol. 57, Warzawa, 9-10 (2002)