Non-integrability of geodesic flow on certain algebraic surfaces

被引：3
|
作者：
Waters, T. J. [1 ]
机构：
[1] Univ Portsmouth, Dept Math, Portsmouth PO13HF, Hants, England
来源：
PHYSICS LETTERS A | 2012年 / 376卷 / 17期
关键词：
D O I：
10.1016/j.physleta.2012.03.016
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (c) 2012 Elsevier B.V. All rights reserved.
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页码：1442 / 1445
页数：4
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