Geometry II - Summer semester 2018
Priv.-Doz. Dr. Fernando Galaz-García
Assistant:
Saskia Roos
Max Planck Institute for Mathematics
Vivatsgasse 7 · Room 215
E-mail: saroos (add @mpim-bonn.mpg.de)
Time and Place
Lecture
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.
Bibliography
- 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.
Exams
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
- Exercise sheet 1 (23.04.2018)
- Exercise sheet 2 (30.04.2018)
- Exercise sheet 3 (07.05.2018)
- Exercise sheet 4 (14.05.2018)
- Exercise sheet 5 (21.05.2018)
- Exercise sheet 6 (04.06.2018)
- Exercise sheet 7 (11.06.2018)
- Exercise sheet 8 (25.06.2018)
- Exercise sheet 9 (02.07.2018)
- Exercise sheet 10 (09.07.2018)
Last modified: June 28, 2018, F.Galaz-García.
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