Topology and Related Topics Seminar
Thursday, 7 Sept 2023, 2:30 pm
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Venue: Room 215
Host: Rekha Santhanam
Speaker: Soumyadeb Samanta
Affiliation: IIT Bombay
Title: Some topological aspects of Riemannian geometry
Abstract: In this talk, I plan to prove the Cartan-Hadamard theorem which talks about the universal cover of a complete Riemannian manifold with non-positive sectional curvature. We shall also see a proof of Myer's theorem about the fundamental group of a complete Riemannian manifold with positive sectional curvature.