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J. Korean Math. Soc. 2010; 47(3): 505-521
Printed May 1, 2010
https://doi.org/10.4134/JKMS.2010.47.3.505
Copyright © The Korean Mathematical Society.
Gray curvature identities for almost contact metric manifolds
Raluca Mocanu and Marian Ioan Munteanu
University of Bucharest and University 'Al.I.Cuza' of Ia\c si
Alfred Gray introduced in [8] three curvature identities for the class of almost Hermitian manifolds. Using the warped product construction and the Boothby-Wang fibration we will give an equivalent of these identities for the class of almost contact metric manifolds.
Keywords: almost Hermitian manifolds, almost contact metric manifolds, curvature identities, Boothby-Wang fibration, cone metric, cosymplectic manifolds, Sasakian manifolds, generalized Heisenberg group
MSC numbers: 53C15, 53C25, 53C55, 53B35, 53D15
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