Einstein manifolds and contact geometry

Boyer, Charles; Galicki, Krzysztof

doi:10.1090/S0002-9939-01-05943-3

Einstein manifolds and contact geometry
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by Charles P. Boyer and Krzysztof Galicki PDF

Proc. Amer. Math. Soc. 129 (2001), 2419-2430 Request permission

Abstract:

We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.

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