ON SPECIAL SUBMANIFOLDS IN SYMPLECTIC-GEOMETRY

被引：6

作者：

CIRIZA, E ^{[1
]}

机构：

[1] ICTP,TRIESTE,ITALY

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1993年 / 3卷 / 01期

关键词：

isotropic; Symplectic;

D O I：

10.1016/0926-2245(93)90024-U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the symplectic geometry of submanifolds of a manifold P equipped with a Kahler metric of non-positive curvature. We show that totally geodesic complex or isotropic submanifolds of P are standard.

引用

页码：91 / 99

页数：9

共 50 条

[1] SYMPLECTIC-GEOMETRY
WEINSTEIN, A
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 5 (01) : 1 - 13
[2] SYMPLECTIC-GEOMETRY
AUDIN, M
IGLESIAS, P
[J]. RECHERCHE, 1994, 25 (271): : 1246 - 1252
[3] SYMPLECTIC-GEOMETRY
WEINSTEIN, A
[J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1983, 39 : 61 - 73
[4] SYMPLECTIC-GEOMETRY AND REPRESENTATIONS
GINZBURG, VA
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1983, 17 (03) : 225 - 227
[5] FOLIATIONS IN SYMPLECTIC-GEOMETRY
DAZORD, P
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1982, 294 (14): : 489 - 491
[6] SYMPLECTIC-GEOMETRY OF STRINGS
NIEMI, AJ
[J]. ANNALS OF PHYSICS, 1988, 187 (02) : 369 - 448
[7] FOLIATIONS, RIEMANNIAN GEOMETRY AND SYMPLECTIC-GEOMETRY
LICHNEROWICZ, A
TRANVANTAN
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1983, 296 (04): : 205 - 210
[8] ELLIPTIC METHODS IN SYMPLECTIC-GEOMETRY
MCDUFF, D
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 23 (02) : 311 - 358
[9] PROBLEMS OF EQUIVALENCE AND SYMPLECTIC-GEOMETRY
LIBERMANN, P
[J]. ASTERISQUE, 1983, (107-) : 43 - 68
[10] THE SYMPLECTIC-GEOMETRY OF COLLECTIVE MOTION
JOHN, G
[J]. PHYSICA A, 1982, 114 (1-3): : 315 - 317

← 1 2 3 4 5 →