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Scalar curvature and the length of a shortest closed geodesic

Recent progress on geometric analysis and Riemannian geometry October 21, 2024 - October 25, 2024

October 21, 2024 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Regina Rotman (University of Toronto)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Scalar curvature and the length of a shortest closed geodesic

Abstract

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Let M be a closed Riemannian 3-manifold with scalar curvature bounded below by some positive constant k. We will prove that there exists a closed non-trivial geodesic on M of length at most $\frac{c}{\sqrt{k}}$. (Joint with Y. Liokumovich, D. Maximo.)

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Scalar curvature and the length of a shortest closed geodesic

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