The local maxima of maximal injectivity radius among hyperbolic surfaces
Geometric Topology
2017-02-09 v2
Abstract
The function on the Teichmueller space of complete, orientable, finite-area hyperbolic surfaces of a fixed topological type that assigns to a hyperbolic surface its maximal injectivity radius has no local maxima that are not global maxima.
Cite
@article{arxiv.1506.08080,
title = {The local maxima of maximal injectivity radius among hyperbolic surfaces},
author = {Jason DeBlois},
journal= {arXiv preprint arXiv:1506.08080},
year = {2017}
}
Comments
Dramatically shortened (now 12 pp.), and introductory material simplified, following a referee's suggestions