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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