Koenigs Theorem and Superintegrable Liouville Metrics
Mathematical Physics
2023-07-20 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
In a first part, we give a new proof of Koenigs theorem and, in a second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their global geometries.
Cite
@article{arxiv.2301.09075,
title = {Koenigs Theorem and Superintegrable Liouville Metrics},
author = {Galliano Valent},
journal= {arXiv preprint arXiv:2301.09075},
year = {2023}
}