Isomorphisms of geodesic flows on quadrics

被引：7
|
作者：
Borisov, A. V. [1 ]
Mamaev, I. S. [1 ]
机构：
[1] Udmurt State Univ, Inst Comp Sci, Izhevsk 426034, Russia
来源：
REGULAR & CHAOTIC DYNAMICS | 2009年 / 14卷 / 4-5期
关键词：
quadric; geodesic flows; integrability; compactification; regularization; isomorphism; DYNAMICS;
D O I：
10.1134/S1560354709040030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider several well-known isomorphisms between Jacobi's geodesic problem and some integrable cases from rigid body dynamics (the cases of Clebsch and Brun). A relationship between these isomorphisms is indicated. The problem of compactification for geodesic flows on noncompact surfaces is stated. This problem is hypothesized to be intimately connected with the property of integrability.
引用
收藏
页码：455 / 465
页数：11
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