Hamiltonian stationary tori in the complex projective plane
Differential Geometry
2016-08-16 v2 Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.math/0310095,
title = {Hamiltonian stationary tori in the complex projective plane},
author = {Frédéric Hélein and Pascal Romon},
journal= {arXiv preprint arXiv:math/0310095},
year = {2016}
}
Comments
Published version. Infinitesimal changes from preprint version