Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
We give in this paper bounds for the Morse indices of a large class of simple geodesics on a surface with a generic metric. To our knowledge these bounds are the first that use only the generic hypothesis on the metric.
Keywords
Cite
@article{arxiv.math/0208133,
title = {Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics},
author = {Tobias H. Colding and Nancy Hingston},
journal= {arXiv preprint arXiv:math/0208133},
year = {2007}
}