On Hamiltonian stationary Lagrangian spheres in non-Einstein Kaehler surfaces
Differential Geometry
2012-12-04 v1
Abstract
Hamiltonian stationary Lagrangian spheres in Kaehler-Einstein surfaces are minimal. We prove that in the family of non-Einstein Kaehler surfaces given by the product of two complete orientable Riemannian surfaces of different constant Gauss curvatures, there is only a (non minimal) Hamiltonian stationary Lagrangian sphere. This example is defined when the surfaces and are spheres.
Cite
@article{arxiv.0706.4390,
title = {On Hamiltonian stationary Lagrangian spheres in non-Einstein Kaehler surfaces},
author = {Ildefonso Castro and Francisco Torralbo and Francisco Urbano},
journal= {arXiv preprint arXiv:0706.4390},
year = {2012}
}