Abstract
This paper addresses an open problem recently posed by V. Kovloz in this journal: a rigorous proof of the non-integrability of the geodesic flow on the cubic surface $x y z=1$. We prove this result using the Morales-Ramis theorem and Kovacic algorithm. We also consider some consequences and extensions of this result.
| Original language | English |
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| Journal | Physics Letters A |
| Publication status | Published - 2012 |