On Eta-Einstein Sasakian Geometry
Differential Geometry
2008-11-26 v4 High Energy Physics - Theory
Abstract
We study eta-Einstein geometry as a class of distinguished Riemannian metrics on contact metric manifolds. In particular, we use a previous solution of the Calabi problem for Sasakian geometry to prove the existence of eta-Einstein structures on many different compact manifolds, including exotic spheres. We also relate these results to the existence of Einstein-Weyl structures.
Cite
@article{arxiv.math/0406627,
title = {On Eta-Einstein Sasakian Geometry},
author = {Charles P. Boyer and Krzysztof Galicki and Paola Matzeu},
journal= {arXiv preprint arXiv:math/0406627},
year = {2008}
}
Comments
31 pages, minor changes made, to appear in Commun. Math. Phys