Hamiltonian stationary tori in the complex projective plane

Details Hamiltonian stationary tori in the complex projective plane Hamiltonian stationary tori in the complex projective plane

2003-10-07

arxiv.org/abs/math/0310095v2

Proceedings of the London Mathematical Society 90 (2005) 472-496

Mathematics

Differential Geometry

Published version. Infinitesimal changes from preprint version

Scientific paper

10.1112/S002461150401500X

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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