Ricci solitons in a generalized weakly (Ricci) symmetric D-homothetically deformed Kenmotsu manifold

Adara M. Blaga; Kanak Kanti Baishya; Nihar Sarkar

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The object of the present paper is to study weakly $W_{3}$ -symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly $W_{3}$ -symmetric manifold both the decompositions are weakly Ricci symmetric.

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The object of the present paper is to study weakly $φ$ -symmetric and weakly $φ$ -Ricci symmetric Kenmotsu manifolds. It is shown that weakly $φ$ -symmetric and weakly $φ$ -Ricci symmetric Kenmotsu manifolds are $η$ -Einstein.

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