Hamiltonian stationary Lagrangian surfaces in C^2

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dc.creatorHelein, Frederic
dc.creatorRomon, Pascal
dc.date2000-09-22
dc.date.accessioned2026-07-07T04:37:39Z
dc.date.available2026-07-07T04:37:39Z
dc.descriptionWe 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.
dc.description3 figures
dc.identifierhttps://arxiv.org/abs/math/0009202
dc.identifierhttp://arxiv.org/abs/math/0009202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59982
dc.subjectDifferential Geometry
dc.subject53C42 (Primary) 58E20, 58F07 (Secondary)
dc.titleHamiltonian stationary Lagrangian surfaces in C^2
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