A note on contact metric manifolds

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Hacettepe Journal of Mathematics and Statistics
Volume:49 Issue:6
A note on contact metric manifolds

A note on contact metric manifolds

Authors : Sharief Deshmukh, Amira Ishan

Pages : 2007-2016

Doi:10.15672/hujms.551596

View : 105 | Download : 16

Publication Date : 2020-12-08

Article Type : Research Paper

Abstract :In this paper, first we obtain several necessary and sufficient conditions for a contact metric manifold to be a K-contact manifold and then it is shown that if the Ricci operator of a complete K-contact manifold satisfies a condition like a Codazzi tensor, then it is necessarily a Sasakian manifold.
Keywords : contact metric manifolds, K contact manifolds, Killing vector field, Sasakian manifolds

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