Publications of Ulrich Pinkall

1
U. Pinkall.
Darboux-Bewegungen im hyperbolischen Raum.
Abh. Math. Sem. Univ. Hamburg, 54:75-82, 1984.

2
U. Pinkall.
h-konvexe Kurven in der hyperbolischen Ebene.
Math. Ann., 267(3):289-297, 1984.

3
U. Pinkall.
W-Kurven in der ebenen Lie-Geometrie. I.
Elem. Math., 39(2):28-33, 1984.

4
U. Pinkall.
W-Kurven in der ebenen Lie-Geometrie. II.
Elem. Math., 39(3):67-78, 1984.

5
W. Kühnel and U. Pinkall.
Tight smoothing of some polyhedral surfaces.
In Global differential geometry and global analysis 1984 (Berlin, 1984), pages 227-239. Springer, Berlin, 1985.

6
U. Pinkall.
Dupin hypersurfaces.
Math. Ann., 270(3):427-440, 1985.

7
U. Pinkall.
Hopf tori in S3.
Invent. Math., 81(2):379-386, 1985.

8
U. Pinkall.
Regular homotopy classes of immersed surfaces.
Topology, 24(4):421-434, 1985.

9
Ulrich Pinkall.
Dupinsche Hyperflächen in E4.
Manuscripta Math., 51(1-3):89-119, 1985.

10
Wolf Barth, Johannes Böhm, Manfredo P. do Carmo, Gerd Fischer, Horst Knörrer, Jürgen Leiterer, Ulrich Pinkall, Erhard Quaisser, and Helmut Reckziegel.
Mathematical models.
pages viii+83, 1986.
Translated from the German.

11
Wolfgang Kühnel and Ulrich Pinkall.
On total mean curvatures.
Quart. J. Math. Oxford Ser. (2), 37(148):437-447, 1986.

12
Ravi S. Kulkarni and Ulrich Pinkall.
Uniformization of geometric structures with applications to conformal geometry.
In Differential geometry, Peñíscola 1985, pages 190-209. Springer, Berlin, 1986.

13
U. Pinkall.
Inequalities of Willmore type for submanifolds.
Math. Z., 193(2):241-246, 1986.

14
U. Pinkall.
Tight surfaces and regular homotopy.
Topology, 25(4):475-481, 1986.

15
Ulrich Pinkall.
Curvature properties of taut submanifolds.
Geom. Dedicata, 20(1):79-83, 1986.

16
Katsumi Nomizu and Ulrich Pinkall.
On a certain class of homogeneous projectively flat manifolds.
Tohoku Math. J. (2), 39(3):407-427, 1987.

17
Katsumi Nomizu and Ulrich Pinkall.
On the geometry of affine immersions.
Math. Z., 195(2):165-178, 1987.

18
U. Pinkall.
On the four-vertex theorem.
Aequationes Math., 34(2-3):221-230, 1987.

19
U. Pinkall and I. Sterling.
Willmore surfaces.
Math. Intelligencer, 9(2):38-43, 1987.

20
H. Karcher, U. Pinkall, and I. Sterling.
New minimal surfaces in S3.
J. Differential Geom., 28(2):169-185, 1988.

21
Katsumi Nomizu and Ulrich Pinkall.
Cubic form theorem for affine immersions.
Results Math., 13(3-4):338-362, 1988.
Reprinted in Affine Differentialgeometrie [(Oberwolfach, 1986), 338-362, Tech. Univ. Berlin, Berlin, 1988.

22
Ulrich Pinkall.
Compact conformally flat hypersurfaces.
In Conformal geometry (Bonn, 1985/1986), pages 217-236. Vieweg, Braunschweig, 1988.

23
Dirk Ferus and Ulrich Pinkall.
Constant curvature 2-spheres in the 4-sphere.
Math. Z., 200(2):265-271, 1989.

24
Katsumi Nomizu and Ulrich Pinkall.
Cayley surfaces in affine differential geometry.
Tohoku Math. J. (2), 41(4):589-596, 1989.

25
Katsumi Nomizu and Ulrich Pinkall.
On the geometry of projective immersions.
J. Math. Soc. Japan, 41(4):607-623, 1989.

26
U. Pinkall and I. Sterling.
On the classification of constant mean curvature tori.
Ann. of Math. (2), 130(2):407-451, 1989.

27
Ulrich Pinkall and Gudlaugur Thorbergsson.
Deformations of Dupin hypersurfaces.
Proc. Amer. Math. Soc., 107(4):1037-1043, 1989.

28
Ulrich Pinkall and Gudlaugur Thorbergsson.
Taut 3-manifolds.
Topology, 28(4):389-401, 1989.

29
Katsumi Nomizu, Ulrich Pinkall, and Fabio Podestà.
On the geometry of affine Kähler immersions.
Nagoya Math. J., 120:205-222, 1990.

30
Ulrich Pinkall and Gudlaugur Thorbergsson.
Examples of infinite-dimensional isoparametric submanifolds.
Math. Z., 205(2):279-286, 1990.

31
Katsumi Nomizu and Ulrich Pinkall.
Immersions of low rank in differential geometry.
In Differential geometry, pages 297-302. Longman Sci. Tech., Harlow, 1991.

32
Katsumi Nomizu and Ulrich Pinkall.
Lorentzian geometry for 2x2 real matrices.
Linear and Multilinear Algebra, 28(4):207-212, 1991.

33
D. Ferus, F. Pedit, U. Pinkall, and I. Sterling.
Minimal tori in S4.
J. Reine Angew. Math., 429:1-47, 1992.

34
U. Hertrich-Jeromin and U. Pinkall.
Ein Beweis der Willmoreschen Vermutung für Kanaltori.
J. Reine Angew. Math., 430:21-34, 1992.

35
Alexander Bobenko, Martin Bordemann, Charlie Gunn, and Ulrich Pinkall.
On two integrable cellular automata.
Comm. Math. Phys., 158(1):127-134, 1993.

36
Alexander Bobenko, Nadja Kutz, and Ulrich Pinkall.
The discrete quantum pendulum.
Phys. Lett. A, 177(6):399-404, 1993.

37
F. E. Burstall, D. Ferus, F. Pedit, and U. Pinkall.
Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras.
Ann. of Math. (2), 138(1):173-212, 1993.

38
U. Pinkall and I. Sterling.
Computational aspects of soap bubble deformations.
Proc. Amer. Math. Soc., 118(2):571-576, 1993.

39
Ulrich Pinkall and Konrad Polthier.
Computing discrete minimal surfaces and their conjugates.
Experiment. Math., 2(1):15-36, 1993.

40
Ravi S. Kulkarni and Ulrich Pinkall.
A canonical metric for Möbius structures and its applications.
Math. Z., 216(1):89-129, 1994.

41
U. Pinkall, A. Schwenk-Schellschmidt, and U. Simon.
Geometric methods for solving Codazzi and Monge-Ampère equations.
Math. Ann., 298(1):89-100, 1994.

42
Martin Timmreck, Ulrich Pinkall, and Dirk Ferus.
Constant mean curvature planes with inner rotational symmetry in Euclidean 3-space.
Math. Z., 215(4):561-568, 1994.

43
Matthias Holschneider and Ulrich Pinkall.
Quadrature Mirror Filters and Loop Groups.
Preprint 1994.

44
Ulrich Pinkall.
Hamiltonian flows on the space of star-shaped curves.
Results Math., 27(3-4):328-332, 1995.

45
Alexander Bobenko and Ulrich Pinkall.
Discrete isothermic surfaces.
J. Reine Angew. Math., 475:187-208, 1996.

46
Alexander Bobenko and Ulrich Pinkall.
Discrete surfaces with constant negative Gaussian curvature and the Hirota equation.
J. Differential Geom., 43(3):527-611, 1996.

47
F. Burstall, U. Hertrich-Jeromin, F. Pedit, and U. Pinkall.
Curved flats and isothermic surfaces.
Math. Z., 225(2):199-209, 1997.

48
Hermann Karcher and Ulrich Pinkall.
Die Boysche Fläche in Oberwolfach.
Mitt. Dtsch. Math.-Ver., (1):45-47, 1997.

49
George Kamberov, Franz Pedit, and Ulrich Pinkall.
Bonnet pairs and isothermic surfaces.
Duke Math. J., 92(3):637-644, 1998.

50
B. G. Konopelchenko and U. Pinkall.
Integrable deformations of affine surfaces via the Nizhnik-Veselov-Novikov.
Phys.Lett.A (1998) 245, 239-245.

51
Franz Pedit and Ulrich Pinkall.
Quaternionic analysis on Riemann surfaces and differential geometry.
In Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), number Extra Vol. II, pages 389-400 (electronic), 1998.

52
Alexander I. Bobenko and Ulrich Pinkall.
Discretization of surfaces and integrable systems.
In Discrete integrable geometry and physics (Vienna, 1996), pages 3-58. Oxford Univ. Press, New York, 1999.

53
Udo Hertrich-Jeromin, Tim Hoffmann, and Ulrich Pinkall.
A discrete version of the Darboux transform for isothermic surfaces.
In Discrete integrable geometry and physics (Vienna, 1996), pages 59-81. Oxford Univ. Press, New York, 1999.

54
B. G. Konopelchenko and U. Pinkall.
Projective generalizations of Lelieuvre's formula.
Geom. Dedicata, 79(1):81-99, 2000.

55
D. Ferus, K. Leschke, F. Pedit, and U. Pinkall.
Quaternionic holomorphic geometry: Plücker formula, dirac eigenvalue estimates and energy estimates of harmonic 2-tori.
Invent. Math., 146(3):507-593, 2001.

56
F. E. Burstall, F. Pedit, and U. Pinkall.
Schwarzian derivatives and flows of surfaces.
Contemp. Math., 308 (2002) 39-61.

57
F. E. Burstall, D. Ferus, K. Leschke, F. Pedit, and U. Pinkall.
Conformal geometry of surfaces in S4 and quaternions.
Lecture Notes in Mathematics, 1772, 2002.

58
G. Kamberov, P. Norman, F. Pedit, and U. Pinkall.
Quaternions, spinors, and surfaces.
Contemporary Mathematics (AMS), 299, 2002.

59
Katrin Leschke, Franz Pedit, Ulrich Pinkall.
Willmore tori in the 4-sphere with nontrivial normal bundle.
Math. Annalen, Volume 332, No. 2, pages 381-394, 2005.

60
Ulrich Pinkall, Boris Springborn, Steffen Weissmann.
A new doubly discrete analogue of smoke ring flow and the real time simulation of fluid flow.
J. Phys. A: Math. Theor. 40 (2007) 12563-12576.

61
Christoph Bohle, G. Paul Peters, Ulrich Pinkall
Constrained Willmore Surfaces.
Calc. Var. Partial Differential Equations 32 (2008), 263-277.

62
Ulrich Pinkall.
Designing Cylinders with Constant Negative Curvature.
In Discrete Differential Geometry, pages 57-66. Springer 2008.

63
Boris Springborn, Peter Schröder, Ulrich Pinkall.
Conformal Equivalence of Triangle Meshes.
ACM Transactions on Graphics (SIGGRAPH 2008).

64
Christoph Bohle, Franz Pedit, Ulrich Pinkall.
Discrete holomorphic geometry I: Darboux transformations and spectral curves.
J. Reine Angew. Math. 637 (2009), 99-139

65
Christoph Bohle, Franz Pedit, Ulrich Pinkall.
The spectral curve of a quaternionic holomorphic line bundle over a 2-torus.
Manuscr. Math. 130 (2009), 311-352.

66
Steffen Weißmann, Ulrich Pinkall
Real-time interactive simulation of smoke using discrete integrable vortex filaments.
Proceedings of the 6th Workshop on Virtual Reality Interaction and Physical Simulation 2009

67
Steffen Weißmann, Charles Gunn, Peter Brinkmann, Tim Hoffmann, Ulrich Pinkall.
jReality: a java library for real-time interactive 3D graphics and audio.
Proceedings of 17th International ACM Conference on Multimedia 2009

68
Isaac Chao, Ulrich Pinkall, Patrick Sanan, Peter Schröder.
A simple geometric model for elastic deformations.
ACM Transactions on Graphics (SIGGRAPH 2010).

69
Steffen Weißmann, Ulrich Pinkall
Filament-based smoke with vortex shedding and variational reconnection.
ACM Transactions on Graphics (SIGGRAPH 2010).

70
Christoph Bohle, Katrin Leschke, Franz Pedit, Ulrich Pinkall.
Conformal maps from a 2-torus to the 4-sphere.
to appear in J. Reine Angew. Math.

71
Francis E. Burstall, Neil M. Donaldson, Franz Pedit, Ulrich Pinkall.
Isothermic submanifolds of symmetric R-spaces.
to appear in J. Reine Angew. Math.