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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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