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

Authors : Dibakar DEY, Pradip MAJHİ

Pages : 52-63

Doi:10.31801/cfsuasmas.699780

View : 11 | Download : 9

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :The object of the present paper is to classify $insert ignore into journalissuearticles values(k,\mu);`$-almost Kenmotsu manifolds admitting Cotton tensors. We characterize $insert ignore into journalissuearticles values(k,\mu);`$-almost Kenmotsu manifolds with vanishing and parallel Cotton tensors. Beside this, $insert ignore into journalissuearticles values(k,\mu);`$-almost Kenmotsu manifolds satisfying Cotton semisymmetry and $Qinsert ignore into journalissuearticles values(g,C); = 0$ are studied. Further, Cotton pseudo-symmetric $insert ignore into journalissuearticles values(k,\mu);`$-almost Kenmotsu manifolds are classified.
Keywords : Almost Kenmotsu manifolds, xi Cotton flat, Cotton flat, Cotton parallel, Cotton semisymmetry, Cotton pseudo symmetry