Zoll and Tannery metrics from a superintegrable geodesic flow
Mathematical Physics
2015-06-19 v1 Differential Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
We prove that for Matveev and Shevchishin superintegrable system, with a linear and a cubic integral, the metrics defined on S^2 and on Tannery's orbifold T^2 are either Zoll or Tannery metrics.
Cite
@article{arxiv.1404.1793,
title = {Zoll and Tannery metrics from a superintegrable geodesic flow},
author = {Galliano Valent},
journal= {arXiv preprint arXiv:1404.1793},
year = {2015}
}
Comments
13 pages, no figure