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Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2021 / Cilt: 70 - Sayı: 1

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

Dibakar DEY, Pradip MAJHI

Sayfa
52–63
DOI
—

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.