The Length of a Shortest Geodesic Loop
Differential Geometry
2007-06-01 v1
Abstract
We give a lower bound for the length of a non-trivial geodesic loop on a simply-connected and compact manifold of even dimension with a non-reversible Finsler metric of positive flag curvature. Harris and Paternain use this estimate in their recent paper [HP] to give a geometric characterization of dynamically convex Finsler metrics on the 2-sphere.
Cite
@article{arxiv.0705.4530,
title = {The Length of a Shortest Geodesic Loop},
author = {Hans-Bert Rademacher},
journal= {arXiv preprint arXiv:0705.4530},
year = {2007}
}