Gray Curvature Identities for Almost Contact Metric Manifolds
Differential Geometry
2010-05-04 v1
Abstract
The aim of this research is the study of Gray curvature identities, introduced by Alfred Gray in \cite{kn:Gra76} for the class of almost hermitian manifolds. As known till now, there is no equivalent for the class of almost contact manifolds. For this purpose we use the Boohby-Wang fibration and the warped manifolds construction in order to establish which identities could be satisfied by an almost contact manifold.
Keywords
Cite
@article{arxiv.0706.2570,
title = {Gray Curvature Identities for Almost Contact Metric Manifolds},
author = {Raluca Mocanu and Marian Ioan Munteanu},
journal= {arXiv preprint arXiv:0706.2570},
year = {2010}
}
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13 pages