Geodesics on the space of Lagrangian submanifolds in cotangent bundles

被引：11

作者：

Milinkovic, D ^{[1
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 06期

关键词：

D O I：

10.1090/S0002-9939-00-05851-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the space of Hamiltonian deformations of zero section in a cotangent bundle of a compact manifold is locally at in the Hofer metric and we describe its geodesics.

引用

页码：1843 / 1851

页数：9

共 50 条

[31] The extended moduli space of special Lagrangian submanifolds
Merkulov, SA
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 209 (01) : 13 - 27
[32] Lagrangian submanifolds in complex projective space CPn
Jiao, Xiaoxiang
Peng, Chiakuei
Xu, Xiaowei
FRONTIERS OF MATHEMATICS IN CHINA, 2012, 7 (06) : 1129 - 1140
[33] WILLMORE LAGRANGIAN SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACE
Shu, Shichang
Liu, Sanyang
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (02): : 343 - 357
[34] WILLMORE LAGRANGIAN SUBMANIFOLDS IN COMPLEX EUCLIDEAN SPACE
Shu, Shichang
ARS COMBINATORIA, 2013, 109 : 45 - 64
[35] Lagrangian submanifolds in complex projective space CPn
Xiaoxiang Jiao
Chiakuei Peng
Xiaowei Xu
Frontiers of Mathematics in China, 2012, 7 : 1129 - 1140
[36] A moduli space of minimal affine Lagrangian submanifolds
Opozda, Barbara
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2012, 41 (04) : 535 - 547
[37] SYMPLECTIC HOMOLOGY OF DISC COTANGENT BUNDLES OF DOMAINS IN EUCLIDEAN SPACE
Irie, Kei
JOURNAL OF SYMPLECTIC GEOMETRY, 2014, 12 (03) : 511 - 552
[38] Positivity of Cotangent Bundles
Jabbusch, Kelly
MICHIGAN MATHEMATICAL JOURNAL, 2009, 58 (03) : 723 - 744
[39] GEODESICS ON TANGENT SPHERE BUNDLES OVER SPACE FORMS
SASAKI, S
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1976, 288 : 106 - 120
[40] A Note on Partial Quasi-Morphisms and Products in Lagrangian Floer Homology in Cotangent Bundles
Katic, Jelena
Milinkovic, Darko
Nikolic, Jovana
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (04)

← 1 2 3 4 5 →