Summer term 2020

Prof. Dr. Hans-Bert Rademacher

Please note the  University Information about Coronavirus 
and its impact about university operations.

Lecture Differential Geometry 2 = Advanced Differential Geometry I


start: 06.04.2020, at first with E-Learning material.
Please enrol in this course via MOODLE and ALMAWEB.

Students:

This is a course for students in mathematics as well as mathematical physics.

It is a compulsary elective course in the mathematical physics program (10-MAT-MPDG1).

Topics:

After a crash course about concepts of differential geometry (connection,
geodesics, parallel transport and curvature),we will investigate Riemannian manifolds.

We will discuss how curvature determines topology. In addition we will study
differential operators on Riemannian manifolds,in particular the Laplace-operator.

References:

 - Gallot, Hulin, Lafontaine: Riemannian Geometry, 3rd ed., Springer 2004

- Jost: Riemannian Geometry and Geometric Analysis, 6th ed., Springer 2011

- Petersen: Riemannian Geometry, 3rd ed., Springer 2016


____________________________________________________________________________________________

03.04.2020

Back to the homepage of Hans-Bert Rademacher