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arXiv · 1302.6970

Equivariant deformations of Hamiltonian stationary Lagrangian submanifolds

Renato G. Bettiol·Paolo Piccione·Bianca Santoro
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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.

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Renato G. Bettiol, Paolo Piccione, Bianca Santoro. 2013-02-27. Equivariant deformations of Hamiltonian stationary Lagrangian submanifolds. https://arxiv.org/abs/1302.6970

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