Abstract
In this paper we use a new equivalent condition of Hamiltonian stationary Lagrangian surfaces in ℂP2 to show that any Hamiltonian stationary Lagrangian torus in ℂP2 can be constructed from a pair of commuting Hamiltonian ODEs on a finite dimensional subspace of a certain loop Lie algebra, i.e., is of finite type.
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Mathematics Subject Classifications (2000): Primary 53C40; Secondary 53C42, 53D12
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Ma, H. Hamiltonian Stationary Lagrangian Surfaces in ℂP2. Ann Glob Anal Geom 27, 1–16 (2005). https://doi.org/10.1007/s10455-005-5214-1
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DOI: https://doi.org/10.1007/s10455-005-5214-1