Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems

被引：29
|
作者：
Bahri, A [1 ]
Taimanov, IA
机构：
[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
[2] Russian Acad Sci, Inst Math, Novosibirsk 630090, Russia
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 07期
关键词：
D O I：
10.1090/S0002-9947-98-02108-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Lagrangian system describing a motion of a charged particle on a Riemannian manifold is studied. For this flow an analog of a Ricci curvature is introduced, and for Ricci positively curved flows the existence of periodic orbits is proved.
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页码：2697 / 2717
页数：21
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