Advanced Geometry I

The lecture focusses on Metric, Differential and Riemannian Geometry.

Tutorials are given by Bogdan Georgiev.

Here you may find the exercise sheets:

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 manifold, see

Gallot, Hulin, Lafontaine, Riemannian Geometry, 2004

Do Carmo, Riemannian Geometry, 1992

Petersen, Riemannian Geometry, 2006