CLOSED MAGNETIC GEODESICS ON S2

被引：0

作者：

Schneider, Matthias ^{[1
]}

机构：

[1] Heidelberg Univ, D-69120 Heidelberg, Germany

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2011年 / 87卷 / 02期

关键词：

PERIODIC-ORBITS; EVERYWHERE; EXISTENCE; MANIFOLDS; INDEX;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give existence results for simple closed curves with prescribed geodesic curvature on S-2, which correspond to periodic orbits of a charge in a magnetic field.

引用

页码：343 / 388

页数：46

共 34 条

[1]

Abraham R., 1978, Foundations of Mechanics

[2] GEODESICS IN RIEMANNIAN MANIFOLDS-WITH-BOUNDARY [J].

ALEXANDER, R ;

ALEXANDER, S .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (04) :481-488

[3]

ALMGREN FJ, 1976, MEM AM MATH SOC, V4, pR5

[4]

ANTONIO J, 2006, NONLINEARITY, V19, P1849

[5]

Arnold V., 2004, ARNOLDS PROBLEMS

[6] 1ST STEPS IN SYMPLECTIC TOPOLOGY [J].

ARNOLD, VI .

RUSSIAN MATHEMATICAL SURVEYS, 1986, 41 (06) :1-21

[7]

Contreras G, 2004, INT MATH RES NOTICES, V2004, P361

[8] The fibrewise Leray-Schauder index [J].

Crabb, M. C. .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2007, 1 (01) :3-30

[9] A NEW DEGREE FOR S1-INVARIANT GRADIENT MAPPINGS AND APPLICATIONS [J].

DANCER, EN .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1985, 2 (05) :329-370

[10]

ELWORTHY K.D., 1970, P S PURE MATH AM MAT, V18, P86

← 1 2 3 4 →