Liouville classification of integrable geodesic flows on a projective plane in a potential field
Differential Geometry
2022-12-26 v1
Abstract
A Liouville classification of a natural Hamiltonian system on the projective plane with a rotation metric and a linear integral is obtained. All Fomenko--Zieschang invariants (i.e., labeled molecules) of the system are calculated.
Keywords
Cite
@article{arxiv.2212.12449,
title = {Liouville classification of integrable geodesic flows on a projective plane in a potential field},
author = {E. I. Antonov and I. K. Kozlov},
journal= {arXiv preprint arXiv:2212.12449},
year = {2022}
}