Quadratic integrals of geodesic flow, webs, and integrable billiards
Differential Geometry
2021-02-03 v2 Dynamical Systems
Abstract
We present a geometric interpretation of integrability of geodesic flow by quadratic integrals in terms of the web theory and construct integrable billiards on surfaces admitting such integrals.
Cite
@article{arxiv.2004.12374,
title = {Quadratic integrals of geodesic flow, webs, and integrable billiards},
author = {Sergey I. Agafonov},
journal= {arXiv preprint arXiv:2004.12374},
year = {2021}
}
Comments
10 pages