Selected Topics in Geometry

We will discuss several topics in global Riemannian geometry. One can compare the geometry of a Riemannian manifold with a lower or upper bound for the sectional curvature with the geometry of a space of constant sectional curvature. One also obtains rigidity results characterizing constant curvature metrics. These methods can also be used to estimate the number of short closed geodesics on spaces of positive curvature.

Date and time info
Thursday 13:15 - 14:45

Keywords
Sectional curvature, closed geodesics, Morse theory, injectivity radius

Prerequisites
Basic knowledge about differential geometry and topology

Audience
MSc students, PhD students, Postdocs

Language
English