Magnetic flows of Anosov type

被引：18

作者：

Gouda, N

机构：

[1] Department of Mathematical Sciences, University of Tokyo, Tokyo, 153, 3-8-1 Komaba, Meguro-Ku

来源：

TOHOKU MATHEMATICAL JOURNAL | 1997年 / 49卷 / 02期

关键词：

D O I：

10.2748/tmj/1178225145

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We regard a closed 2-form on a Riemannian manifold as a magnetic field and define a magnetic Row which is a perturbation of a geodesic flow. A sufficient condition is given for a magnetic flow to become an Anosov flow.

引用

页码：165 / 183

页数：19

共 12 条

[1] Adachi T, 1995, Tokyo J. Math., V18, P473
[2] [Anonymous], 1973, J. Differ. Geom., V8, P565
[3] [Anonymous], 1958, Michigan Math. J., V5, P31
[4] Arnold V. I., 1967, PROBLEMES ERGODIQUES
[5] Cheeger J., 1975, COMPARISON THEOREMS
[6] ON THE LANDAU-LEVELS ON THE HYPERBOLIC PLANE
COMTET, A
[J]. ANNALS OF PHYSICS, 1987, 173 (01) : 185 - 209
[7] CLOSED SURFACES WITHOUT CONJUGATE POINTS
HOPF, E
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1948, 34 (02) : 47 - 51
[8] KOBAYASHI S, 1969, F DIFFERENTIAL GEOME, V2
[9] MILNOR JW, 1962, ANN MATH STUDIES, V51
[10] NIWA T, 1969, SEMINAR PROBABILITY, V30

← 1 2 →