Geometry II - Summer semester 2018

Priv.-Doz. Dr. Fernando Galaz-García

Saskia Roos
Max Planck Institute for Mathematics
Vivatsgasse 7 · Room 215
E-mail: saroos (add


Time and Place

Tu: 14:00-16:00, Wegelerstr. 10 - Kleiner Hörsaal.
We: 16:00-18:00, Wegelerstr. 10 - Kleiner Hörsaal.

Exercise session
Mo: 12:00-14:00, Endenicher Allee 60 - SemR 0.011.

Course description

This is a course on Riemannian geometry with an emphasis on comparison theory. We will study how the behavior of curvature influences the topology of a riemannian manifold.


  • J.Lee: Riemannian Manifolds, GTM 176, Springer, 1997.
  • M.P. do Carmo: Riemannian geometry, Birkhäuser, 1992.
  • J. Cheeger and D.G. Ebin: Comparison theorems in Riemannian geometry. AMS Chelsea Publishing, Providence, 2008.
  • T. Sakai: Riemannian geometry. Translations of Mathematical Monographs, 149. AMS, 1996.


The written exam will take place on Tuesday July 24, 2018. The official informations on registration and examination of graduate course modules can be found here.

Exercise sheets


Last modified: June 28, 2018, F.Galaz-García.