The Length Spectrum of the Sub-Riemannian Three-Sphere
Differential Geometry
2018-06-06 v2
Abstract
We determine the lengths of all closed sub-Riemannian geodesics on the three-sphere. Our methods are elementary and allow us to avoid using explicit formulas for the sub-Riemannian geodesics.
Keywords
Cite
@article{arxiv.1507.03041,
title = {The Length Spectrum of the Sub-Riemannian Three-Sphere},
author = {David Klapheck and Michael VanValkenburgh},
journal= {arXiv preprint arXiv:1507.03041},
year = {2018}
}
Comments
17 pages, 10 figures