Torus invariant transverse K\"ahler foliations
Complex Variables
2015-09-15 v2 Differential Geometry
Symplectic Geometry
Abstract
In this paper, we show the convexity of the image of a moment map on a transverse symplectic manifold equipped with a torus action under a certain condition. We also study properties of moment maps in the case of transverse K\"ahler manifolds. As an application, we give a positive answer to the conjecture posed by Cupit-Foutou and Zaffran.
Keywords
Cite
@article{arxiv.1505.06035,
title = {Torus invariant transverse K\"ahler foliations},
author = {Hiroaki Ishida},
journal= {arXiv preprint arXiv:1505.06035},
year = {2015}
}
Comments
19 pages, a few minor changes