A classification of $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensor

Year 2021, Volume: 70 Issue: 1, 52 - 63, 30.06.2021

Dibakar Dey , Pradip Majhi

https://doi.org/10.31801/cfsuasmas.699780

Abstract

The object of the present paper is to classify $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensors. We characterize $(k,\mu)'$-almost Kenmotsu manifolds with vanishing and parallel Cotton tensors. Beside this, $(k,\mu)'$-almost Kenmotsu manifolds satisfying Cotton semisymmetry and $Q(g,C) = 0$ are studied. Further, Cotton pseudo-symmetric $(k,\mu)'$-almost Kenmotsu manifolds are classified.

Keywords

Almost Kenmotsu manifolds, $\xi$-Cotton flat, Cotton flat, Cotton parallel, Cotton semisymmetry, Cotton pseudo-symmetry

Supporting Institution

Council of Scientific and Industrial Research, India

Project Number

09/028(1010)/2017-EMR-1

Thanks

The author Dibakar Dey is thankful to CSIR, India for their assistance.

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