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Hamiltonian stationary Lagrangian surfaces in C^2 by Helein, Frederic; Romon, Pascal is a scholarly article available to read on EtoBox.

What is Hamiltonian stationary Lagrangian surfaces in C^2 about?

We study Hamiltonian stationary Lagrangian surfaces in C^2, i.e. Lagrangian surfaces in C^2 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.

Author

Helein, Frederic; Romon, Pascal

Published

2000

Language

EN