Bochner and Conformal Flatness of Normal Metric Contact Pairs
Differential Geometry
2015-03-31 v3
Abstract
We prove that the normal metric contact pairs with orthogonal characteristic foliations, which are either Bochner flat or locally conformally flat, are locally isometric to the Hopf manifolds. As a corollary we obtain the classification of locally conformally flat and Bochner-flat non-K\"ahler Vaisman manifolds.
Keywords
Cite
@article{arxiv.1501.06602,
title = {Bochner and Conformal Flatness of Normal Metric Contact Pairs},
author = {Gianluca Bande and David E. Blair and Amine Hadjar},
journal= {arXiv preprint arXiv:1501.06602},
year = {2015}
}
Comments
To appear in Ann. Glob. Anal.. Geom