Almost all standard Lagrangian tori in C^n are not Hamiltonian volume minimizing
Differential Geometry
2015-12-09 v2 Symplectic Geometry
Abstract
In 1993, Y.-G. Oh proposed a problem whether standard Lagrangian tori in C^n are volume minimizing under Hamiltonian isotopies of C^n. In this article, we prove that most of them do not have such property if the dimension n is greater than two. We also discuss the existence of Hamiltonian non-volume minimizing Lagrangian torus orbits of compact toric Kahler manifolds.
Keywords
Cite
@article{arxiv.1408.5576,
title = {Almost all standard Lagrangian tori in C^n are not Hamiltonian volume minimizing},
author = {Hiroshi Iriyeh and Hajime Ono},
journal= {arXiv preprint arXiv:1408.5576},
year = {2015}
}
Comments
This paper has been withdrawn, as it is now incorporated into arXiv:1512.01940