Equivariant deformations of Hamiltonian stationary Lagrangian submanifolds
Differential Geometry
2015-11-23 v2 Symplectic Geometry
Abstract
We prove an equivariant deformation result for Hamiltonian stationary Lagrangian submanifolds of a Kahler manifold, with respect to deformations of its metric and almost complex structure that are compatible with an isometric Hamiltonian group action. This yields existence of Hamiltonian stationary Lagrangian submanifolds in possibly non-Kahler symplectic manifolds whose metric is arbitrarily close to a Kahler metric.
Keywords
Cite
@article{arxiv.1302.6970,
title = {Equivariant deformations of Hamiltonian stationary Lagrangian submanifolds},
author = {Renato G. Bettiol and Paolo Piccione and Bianca Santoro},
journal= {arXiv preprint arXiv:1302.6970},
year = {2015}
}
Comments
LaTeX2e, 16 pages, revised version. To appear in Mat. Contemp