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arXiv · 1601.00892

Weyl-Einstein structures on K-contact manifolds

Paul Gauduchon·Andrei Moroianu
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Abstract

We show that a compact K-contact manifold $(M,g,\xi)$ has a closed Weyl-Einstein connection compatible with the conformal structure $[g]$ if and only if it is Sasaki-Einstein.

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Paul Gauduchon, Andrei Moroianu. 2016-01-05. Weyl-Einstein structures on K-contact manifolds. https://doi.org/10.1007/s10711-017-0223-3

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