The Length of a Shortest Geodesic Loop

Details The Length of a Shortest Geodesic Loop The Length of a Shortest Geodesic Loop

2007-05-31

arxiv.org/abs/0705.4530v1

Mathematics

Differential Geometry

4 pages

Scientific paper

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.

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