Generalized pseudo Kaehler structures
Differential Geometry
2011-04-22 v4 High Energy Physics - Theory
Abstract
In the paper we consider pseudo bihermitian structures - a pair of complex structures compatible with a pseudo Riemannian metric. As in the positive definite case we establish its relations with generalized (pseudo) Kaehler geometry and holomorphic Poisson structures. We provide a list of compact complex surfaces which could admit such structure and also examples of bihermitian structures on some of them. We also consider a naturally defined null plane distribution on generalized pseudo Kaehler 4-manifold and show that under a mild restriction it determines an Engel structure.
Cite
@article{arxiv.0909.2011,
title = {Generalized pseudo Kaehler structures},
author = {J. Davidov and G. Grantcharov and O. Muskarov and M. Yotov},
journal= {arXiv preprint arXiv:0909.2011},
year = {2011}
}
Comments
28 pages, to appear in Comm. Math. Phys