Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems

被引：28

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.

引用

页码：2697 / 2717

页数：21

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