Tohoku Mathematical Journal
2012
September
SECOND SERIES VOL. 64, NO. 3

Tohoku Math. J.
64 (2012), 453-468

Title UNIQUENESS OF SASAKI-EINSTEIN METRICS

Author Yasufumi Nitta and Ken'ichi Sekiya

(Received September 1, 2010, revised February 9, 2012)
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 [5] for compact toric Sasaki manifolds.

2000 Mathematics Subject Classification. Primary 53C55; Secondary 53D10.
Key words and phrases. Sasaki manifolds, Einstein metrics, transverse Kähler geometry.

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