On First Integrals of Two-Dimensional Geodesic Flows

被引：4
|
作者：
Agapov, S., V [1 ]
机构：
[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2020年 / 61卷 / 04期
关键词：
geodesic flow; first integral; magnetic field; 517; 938; QUASI-LINEAR SYSTEM; RATIONAL INTEGRALS; 2-TORUS; INTEGRABILITY; RIGIDITY;
D O I：
10.1134/S0037446620040011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the first integrals polynomial and rational in momenta of the geodesic flows (including those in a magnetic field) on two-dimensional surfaces.
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收藏
页码：563 / 574
页数：12
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