Gray Curvature Identities for Almost Contact Metric Manifolds

Details Gray Curvature Identities for Almost Contact Metric Manifolds Gray Curvature Identities for Almost Contact Metric Manifolds

2007-06-18

arxiv.org/abs/0706.2570v1

Journal of Korean Mathematical Society, 47 (2010), 505-521

Mathematics

Differential Geometry

13 pages

Scientific paper

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.

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