Finding geodesics in a triangulated 2-sphere
Geometric Topology
2014-09-11 v2
Abstract
Let S be a triangulated 2-sphere with fixed triangulation T. We apply the methods of thin position from knot theory to obtain a simple version of the three geodesics theorem for the 2-sphere [5]. In general these three geodesics may be unstable, corresponding, for example, to the three equators of an ellipsoid. Using a piece-wise linear approach, we show that we can usually find at least three stable geodesics.
Cite
@article{arxiv.1408.5949,
title = {Finding geodesics in a triangulated 2-sphere},
author = {Abigail Thompson},
journal= {arXiv preprint arXiv:1408.5949},
year = {2014}
}