On hypercomplex pseudo-Hermitian manifolds
Differential Geometry
2012-03-27 v1
Abstract
The class of the hypercomplex pseudo-Hermitian manifolds is considered. The flatness of the considered manifolds with the 3 parallel complex structures is proved. Conformal transformations of the metrics are introduced. The conformal invariance and the conformal equivalence of the basic types manifolds are studied. A known example is characterized in relation to the obtained results.
Cite
@article{arxiv.0809.0784,
title = {On hypercomplex pseudo-Hermitian manifolds},
author = {Kostadin Gribachev and Mancho Manev and Stancho Dimiev},
journal= {arXiv preprint arXiv:0809.0784},
year = {2012}
}
Comments
12 pages, presented on The Sixth International Workshop on Complex Structures and Vector Fields, St Konstantin, Bulgaria, 3-6 September 2002