%0 Journal Article
%T Non-integrability of geodesic flow on certain algebraic surfaces
%A Thomas Waters
%J Physics
%D 2012
%I arXiv
%R 10.1016/j.physleta.2012.03.016
%X 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 $x y z=1$. We prove this is the case using the Morales-Ramis theorem and Kovacic algorithm. We also consider some consequences and extensions of this result.
%U http://arxiv.org/abs/1203.2462v1