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.

引用

页码：2697 / 2717

页数：21

共 22 条

[1] [Anonymous], 1963, ANN MATH STUD
[2] 1ST STEPS IN SYMPLECTIC TOPOLOGY
ARNOLD, VI
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1986, 41 (06) : 1 - 21
[3] Bahri A., 1988, PITMAN RES NOTES MAT PITMAN RES NOTES MAT, V173
[4] THE BIRKHOFF-LEWIS FIXED-POINT THEOREM AND A CONJECTURE OF ARNOLD,V.I.
CONLEY, CC
ZEHNDER, E
[J]. INVENTIONES MATHEMATICAE, 1983, 73 (01) : 33 - 49
[5] NEW GENERALIZATIONS OF POINCARE GEOMETRIC THEOREM
GINZBURG, VL
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1987, 21 (02) : 100 - 106
[6] Ginzburg VL, 1996, MATH Z, V223, P397
[7] GRINEVICH PG, 1995, TOPICS TOPOLOGY MA 2, V170, P59
[8] Hedlund G. A., 1936, DUKE MATH J, V2, P530
[9] imanov I. A. Ta., 1983, DOKL AKAD NAUK SSSR, V268, P43
[10] KLINGENBERG W, 1995, STUDIES MATH

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