Non-integrability of geodesic flow on certain algebraic surfaces
Dynamical Systems
2015-06-04 v1 Differential Geometry
Chaotic Dynamics
Abstract
This paper addresses an open problem recently posed by V. Kozlov: a rigorous proof of the non-integrability of the geodesic flow on the cubic surface . We prove this is the case using the Morales-Ramis theorem and Kovacic algorithm. We also consider some consequences and extensions of this result.
Cite
@article{arxiv.1203.2462,
title = {Non-integrability of geodesic flow on certain algebraic surfaces},
author = {Thomas Waters},
journal= {arXiv preprint arXiv:1203.2462},
year = {2015}
}
Comments
Accepted in Physics Letters A