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Article Dans Une Revue Proceedings of the London Mathematical Society Année : 2005

Hamiltonian stationary tori in the complex projective plane

Résumé

We analyze here Hamiltonian stationary surfaces in the complex projective plane as (local) solutions to an integrable system, formulated as a zero curvature on a loop group. As an application, we show in details why such tori are finite type solutions, and eventually describe the simplest of them: the homogeneous ones.
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Dates et versions

hal-00000691 , version 1 (07-10-2003)
hal-00000691 , version 2 (13-10-2005)

Identifiants

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Frédéric Hélein, Pascal Romon. Hamiltonian stationary tori in the complex projective plane. Proceedings of the London Mathematical Society, 2005, 90, pp.472-496. ⟨10.1112/S002461150401500X⟩. ⟨hal-00000691v2⟩
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