Weyl–Einstein structures on K-contact manifolds

Original Paper

DOI: 10.1007/s10711-017-0223-3

Cite this article as:
Gauduchon, P. & Moroianu, A. Geom Dedicata (2017). doi:10.1007/s10711-017-0223-3

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.

Keywords

Weyl-Einstein K-contact Sasaki 

Mathematics Subject Classification (2010)

53C25 53D10 53A30 

Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  1. 1.CMLS, École Polytechnique, CNRSUniversité Paris-SaclayPalaiseauFrance
  2. 2.Laboratoire de Mathématiques d’OrsayUniversité Paris-Sud, CNRS, Université Paris-SaclayOrsayFrance