Uniqueness of Sasaki-Einstein metrics

Yasufumi Nitta; Ken'ichi Sekiya

doi:10.2748/tmj/1347369373

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Home > Journals > Tohoku Math. J. (2) > Volume 64 > Issue 3 > Article

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

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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.

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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