Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A Hamiltonian stationary Lagrangian submanifold of a Kaehler manifold is a Lagrangian submanifold whose volume is stationary under Hamiltonian variations. We find a sufficient condition on the curvature of a Kaehler manifold of real dimension four that guarantees the existence of a family of small Hamiltonian stationary Lagrangian tori.
31 pages

Keywords

Differential Geometry, Analysis of PDEs, 53Cxx, 53Dxx, 58Jxx

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/174395

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.2829
 http://arxiv.org/abs/0811.2829

Collections

arXiv