Open Access
2012 Uniqueness of Sasaki-Einstein metrics
Yasufumi Nitta, Ken'ichi Sekiya
Tohoku Math. J. (2) 64(3): 453-468 (2012). DOI: 10.2748/tmj/1347369373

Abstract

In this paper, we shall prove 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. This generalizes the result of Cho, Futaki and Ono for compact toric Sasaki manifolds.

Citation

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Yasufumi Nitta. Ken'ichi Sekiya. "Uniqueness of Sasaki-Einstein metrics." Tohoku Math. J. (2) 64 (3) 453 - 468, 2012. https://doi.org/10.2748/tmj/1347369373

Information

Published: 2012
First available in Project Euclid: 11 September 2012

zbMATH: 1253.53047
MathSciNet: MR2979292
Digital Object Identifier: 10.2748/tmj/1347369373

Subjects:
Primary: 53C55
Secondary: 53D10

Keywords: Einstein metrics , Sasaki manifolds , transverse Kähler geometry

Rights: Copyright © 2012 Tohoku University

Vol.64 • No. 3 • 2012
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