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arXiv · 0811.2829

Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds

Adrian Butscher·Justin Corvino
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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.

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Adrian Butscher, Justin Corvino. 2008-11-18. Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds. https://arxiv.org/abs/0811.2829

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