Weyl-Einstein structures on K-contact manifolds
Differential Geometry
2017-12-21 v2
Abstract
We show that a compact K-contact manifold has a closed Weyl-Einstein connection compatible with the conformal structure if and only if it is Sasaki-Einstein.
Keywords
Cite
@article{arxiv.1601.00892,
title = {Weyl-Einstein structures on K-contact manifolds},
author = {Paul Gauduchon and Andrei Moroianu},
journal= {arXiv preprint arXiv:1601.00892},
year = {2017}
}
Comments
9 pages; an error in the statement and proof of Theorem 3.2 was corrected