A CLASS OF ALMOST CONTACT METRIC MANIFOLDS AND DOUBLE-TWISTED PRODUCTS

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Mathematical Sciences and Applications E-Notes
Volume:1 Issue:1
A CLASS OF ALMOST CONTACT METRIC MANIFOLDS AND DOUBLE-TWISTED PRODUCTS

A CLASS OF ALMOST CONTACT METRIC MANIFOLDS AND DOUBLE-TWISTED PRODUCTS

Authors : Maria FALCITELLI

Pages : 36-57

View : 34 | Download : 10

Publication Date : 2013-06-01

Article Type : Research Paper

Abstract :We determine the Chinea-Gonzales class of almost contact metricmanifolds locally realized as double-twisted product manifolds I ×insert ignore into journalissuearticles values(λ1,λ2);F ,I being an open interval, F an almost Hermitian manifold and λ1, λ2smoothpositive functions. Several subclasses are studied. We also give an explicitexpression for the cosymplectic defect of any manifold in the considered classand derive several consequences in dimensions 2n + 1 ≥ 5. Explicit formulasfor two algebraic curvature tensor fields are obtained. In particular cases, thisallows to state interesting curvature relations
Keywords : double twisted product manifold, almost Hermitian manifold, cosymplectic defect

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