Regina Rotman, University of Toronto
Title: Ricci curvature, the length of a shortest periodic geodesic and
quantitative Morse theory on loop spaces
Abstract: I am planning to present the following result of
mine: Let Mn be a closed Riemannian manifold of dimension n and Ric
≥(n-1).
Then the length of a shortest periodic geodesic can be at
most 8πn.
The technique involves quantitative Morse theory on loop spaces. We will
discuss some related results in geometry of loop spaces on Riemannian
manifolds.