Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds
Differential Geometry
2008-11-19 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.0811.2829,
title = {Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds},
author = {Adrian Butscher and Justin Corvino},
journal= {arXiv preprint arXiv:0811.2829},
year = {2008}
}
Comments
31 pages