Abstract
A Hamiltonian stationary Lagrangian submanifold of a Kähler manifold is a Lagrangian submanifold whose volume is stationary under Hamiltonian variations. We find a sufficient condition on the curvature of a Kähler manifold of real dimension four to guarantee the existence of a family of small Hamiltonian stationary Lagrangian tori.
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Communicated by F. Hélein.
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Butscher, A., Corvino, J. Hamiltonian stationary tori in Kähler manifolds. Calc. Var. 45, 63–100 (2012). https://doi.org/10.1007/s00526-011-0451-6
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DOI: https://doi.org/10.1007/s00526-011-0451-6