Curvature Bounds and the Length of the Shortest Closed Geodesic
Offered By: Applied Algebraic Topology Network via YouTube
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
Related Courses
General RelativityMassachusetts Institute of Technology via MIT OpenCourseWare An Introduction to Hyperbolic Geometry
Indian Institute of Technology Kanpur via Swayam Geometry of 2-Dimensional Riemannian Disks and Spheres - Regina Rotman
Institute for Advanced Study via YouTube Hyperbolic Geometry, Fuchsian Groups and Moduli Spaces - Lecture 1
International Centre for Theoretical Sciences via YouTube Some Geometric Properties of Spacetime
ICTP Mathematics via YouTube