Quaternionic contact manifolds with a closed fundamental 4-form
Differential Geometry
2014-02-26 v2 Analysis of PDEs
Abstract
We show that the fundamental 4-form on a quaternionic contact manifold of dimension at least eleven is closed if and only if the torsion endomorphism of the Biquard connection vanishes. This condition characterizes quaternionic contact structures which are locally qc homothetic to 3-Sasakian structures.
Cite
@article{arxiv.0810.3888,
title = {Quaternionic contact manifolds with a closed fundamental 4-form},
author = {Stefan Ivanov and Dimiter Vassilev},
journal= {arXiv preprint arXiv:0810.3888},
year = {2014}
}
Comments
LaTeX 2e, 9 pages, no figures, final version to appear in Bull. London Math. Soc