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Geometrie I

The lecture provides an introduction to Differential and Riemannian Geometry.

 

Tutorials are given by Henrik Matthiesen in Room 0.008 from 10 to 12 a.m. on Fridays as well as by Tim Leistritz in Room 1.008 from 12-14 on Mondays. 

Here you may find the exercise sheets:

 

Series 01

Series 02 

Series 03

Series 04

Series 05

Series 06

Series 07

Series 08

Series 09

Series 10

Series 11

Series 12

Series 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 curves, see

Kühnel, "Differential Geometry: Curves - Surfaces - Manifolds", 2006.

Bär, "Elementary Differential Geometry", 2010.

 

For smooth manifolds, see

Lee, "Introduction to smooth manifolds", 2000.

 

For Riemannian manifold, see

Gallot, Hulin, Lafontaine, Riemannian Geometry, 2004

Do Carmo, Riemannian Geometry, 1992

Petersen, Riemannian Geometry, 2006