Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds

Details Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds Hamiltonian Stationary Lagrangian Tori in Kaehler Manifolds

2008-11-18

arxiv.org/abs/0811.2829v1

Mathematics

Differential Geometry

31 pages

Scientific paper

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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