Non-integrability of geodesic flow on certain algebraic surfaces

作者：Waters T J^*

来源：Physics Letters A, 2012, 376(17): 1442-1445.

DOI：10.1016/j.physleta.2012.03.016

This Letter addresses an open problem recently posed by V. Kozlov: a rigorous proof of the non-integrability of the geodesic flow on the cubic surface xyz = 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.

• 出版日期2012-3-26