Simple closed geodesics on most Alexandrov surfaces
Metric Geometry
2013-11-20 v1
Abstract
We study the existence of simple closed geodesics on most (in the sense of Baire category) Alexandrov surfaces with curvature bounded below, compact and without boundary. We show that it depends on both the curvature bound and the topology of the surfaces.
Cite
@article{arxiv.1311.4873,
title = {Simple closed geodesics on most Alexandrov surfaces},
author = {Joël Rouyer and Costin Vîlcu},
journal= {arXiv preprint arXiv:1311.4873},
year = {2013}
}
Comments
22 pages, 4 figures