Hamiltonian stationary Lagrangian surfaces in C 2
نویسنده
چکیده
We study Hamiltonian stationary Lagrangian surfaces in C, i.e. Lagrangian surfaces in C which are stationary points of the area functional under smooth Hamiltonian variations. Using loop groups, we propose a formulation of the equation as a completely integrable system. We construct a Weierstrass type representation and produce all tori through either the integrable systems machinery or more direct arguments. 1991 Mathematics Subject Classification: primary 53C42, secondary 58E20, 58F07.
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