A diameter bound for Sasaki manifolds with application to uniqueness for Sasaki-Einstein structure
Differential Geometry
2009-10-04 v3
Abstract
In this paper we give a diameter bound for Sasaki manifolds with positive transverse Ricci curvature. As an application, we obtain the uniqueness of Sasaki-Einstein metrics on compact Sasaki manifolds modulo the action of the identity component of the automorphism group for the transverse holomorphic structure.
Cite
@article{arxiv.0906.0170,
title = {A diameter bound for Sasaki manifolds with application to uniqueness for Sasaki-Einstein structure},
author = {Yasufumi Nitta and Ken'ichi Sekiya},
journal= {arXiv preprint arXiv:0906.0170},
year = {2009}
}
Comments
31pages