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Weyl–Einstein structures on K-contact manifolds

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An Erratum to this article was published on 28 March 2017

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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Correspondence to Andrei Moroianu.

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We thank the referee for a very careful reading of the first version of this manuscript which helped us to make several improvements and corrections.

An erratum to this article is available at http://dx.doi.org/10.1007/s10711-017-0238-9.

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Gauduchon, P., Moroianu, A. Weyl–Einstein structures on K-contact manifolds. Geom Dedicata 189, 177–184 (2017). https://doi.org/10.1007/s10711-017-0223-3

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  • DOI: https://doi.org/10.1007/s10711-017-0223-3

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