A note on contact metric manifolds

Year 2020, Volume: 49 Issue: 6, 2007 - 2016, 08.12.2020

Sharief Deshmukh , Amira Ishan

https://doi.org/10.15672/hujms.551596

Cited By: 2

https://izlik.org/JA77SE76HU

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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