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Curvature Bounds and the Length of the Shortest Closed Geodesic

Offered By: Applied Algebraic Topology Network via YouTube

Tags

Riemannian Geometry Courses Geodesics Courses Scalar Curvature Courses Ricci Curvature Courses

Course Description

Overview

Explore upper bounds for the length of the shortest periodic geodesic on closed Riemannian manifolds in this 47-minute lecture by Regina Rotman. Delve into the relationship between curvature bounds and geodesic lengths, focusing on manifolds with positive Ricci curvature and closed Riemannian 3-spheres with positive scalar curvature. Gain insights into joint research with Y. Liokumovich and D. Maximo, examining how various curvature conditions influence the geometry of manifolds and their shortest closed geodesics.

Syllabus

Regina Rotman (5/28/22): Curvature bounds and the length of the shortest closed geodesic


Taught by

Applied Algebraic Topology Network

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