Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds
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math.AP
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hamiltonianlagrangianstationarykaehlermanifoldsubmanifoldtoricondition
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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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