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arXiv · 0906.0170

A diameter bound for Sasaki manifolds with application to uniqueness for Sasaki-Einstein structure

Yasufumi Nitta·Ken'ichi Sekiya
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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.

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Yasufumi Nitta, Ken'ichi Sekiya. 2009-10-04. A diameter bound for Sasaki manifolds with application to uniqueness for Sasaki-Einstein structure. https://arxiv.org/abs/0906.0170

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