 News:

The lecture on Thursday 28 April will be slightly later
than usual: roughly 10:50 – 12:10.
 WWW:
 Course information is online at
www.math.tuberlin.de/~sullivan/L/11S/DG3/
 Course work:
 homework (not to be turned in), oral final exam
 Reccomended homework:
 1.2.10, 1.4.{5,10}, 1.5.4
 2.1.3, 2.3.{2,3,7,8,9,10,11}
 2.4.{5,18,19}, 2.5.{3,6,18}
 Textbook:
 Burago, Burago, Ivanov: A Course in Metric Geometry, AMS Grad. Stud. in Math. 33
 Other books:
 Gromov: Metric structures for Riemannian and nonRiemannian spaces,
Birkhäuser, 2007
Ballmann: Lectures on spaces of nonpositive curvature,
Birkhäuser, 1995
Buyalo, Schroeder: Spaces of curvature bounded above,
Int'l Press, 2007
Brisdon, Haefliger: Metric spaces of nonpositive curvature,
Springer GdMW 319, 1999
 Outline:
 This course will cover the geometry of length spaces (also called
geodesic metric spaces), in particular those with curvature bounded above
or below by some constant. This relatively new field, initiated by
Alexandrov among others, extends results from Riemannian geometry
to nonsmooth spaces, in a sense unifying smooth and polyhedral geometry.
 Note:
 The first lecture on Monday 11 April reviewed material on
metric spaces. There is no lecture on Thursday 14 April. The
real work of the course will start on Monday 18 April.
