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Advanced Geometry I

The lecture focusses on Metric, Differential and Riemannian Geometry.

 

Tutorials are given by Bogdan Georgiev. Note that the tutorials start on Monday, October 24th, 2016. (As usual, the lecture starts in the first week of the semester, i.e. on Tuesday, October 18th.) 

Here you may find the exercise sheets:

 

Exercise sheet 01

Exercise sheet 02

Exercise sheet 03

Exercise sheet 04

Exercise sheet 05

Exercise sheet 06

Exercise sheet 07

Exercise sheet 08

Exercise sheet 09

Exercise sheet 10

Exercise sheet 11

Exercise sheet 12

Exercise sheet 13

 

 

 

 

 

 

 

 

Literature:

For Metric Geometry, see 

Burago, Burago, Ivanov, "A course in metric geometry", 2001.

Bridson, Haefliger, "Metric spaces of non-positive curvature", 1999.

 

For smooth manifolds, see

Lee, "Introduction to smooth manifolds", 2000.

 

For Riemannian manifolds, see

Lee, "Riemannian manifolds - and introduction to curvature", 1997

Gallot, "Hulin, Lafontaine, Riemannian Geometry", 2004

Do Carmo, "Riemannian Geometry", 1992

Petersen, "Riemannian Geometry", 2006