|
Geometry Group
Members
Projects
Lehre
Seminare
Archive
|
|
|
|
| Diff. Geometry III Summer 2014
|
|
|
- TU LV-Nr:
- 3236 L 225
- BMS Advanced Course:
- Metric Comparison Geometry
- Lectures:
- Mon 8:30-10:00, 10:15-11:45, in room MA 848
- Language:
- This course will be held in English
- Professor:
- John M. Sullivan,
MA 802, tel. 314-29279
sullivan@math.tu-berlin.de,
office hours Tuesday 11:30–12:30
- Prerequisites:
- Analysis, some geometry
|
|
- WWW:
- Course information is online at
www3.math.tu-berlin.de/geometrie/Lehre/SS14/DGIII/
- 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
Note: the authors have posted
corrections
to the published version.
- Other books:
- Gromov: Metric structures for Riemannian and non-Riemannian 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 non-positive 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 (Mon 14 Apr) will mainly review material on
metric spaces. There is no lecture Easter Monday (21 Apr).
The real work of the course will start Mon 28 Apr.
|
|