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2013 New examples of Sasaki-Einstein manifolds
Toshiki Mabuchi, Yasuhiro Nakagawa
Tohoku Math. J. (2) 65(2): 243-252 (2013). DOI: 10.2748/tmj/1372182724

Abstract

In this note, stimulated by the existence result by Futaki, Ono and Wang for toric Sasaki-Einstein metrics, we obtain new examples of Sasaki-Einstein metrics on $S^1$-bundles associated to canonical line bundles of ${\boldsymbol P}^1({\boldsymbol C})$-bundles over Kähler-Einstein Fano manifolds, even though the Futaki's obstruction does not vanish. Here our examples include non-toric Sasaki-Einstein manifolds.

Citation

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Toshiki Mabuchi. Yasuhiro Nakagawa. "New examples of Sasaki-Einstein manifolds." Tohoku Math. J. (2) 65 (2) 243 - 252, 2013. https://doi.org/10.2748/tmj/1372182724

Information

Published: 2013
First available in Project Euclid: 25 June 2013

zbMATH: 1288.53034
MathSciNet: MR3079287
Digital Object Identifier: 10.2748/tmj/1372182724

Subjects:
Primary: 53C25
Secondary: 32Q20, 53C55

Rights: Copyright © 2013 Tohoku University

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Vol.65 • No. 2 • 2013
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