η-Ricci solitons in Kenmotsu manifolds

Autor: Baishya Kanak Kanti, Chowdhury Partha Roy
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 57, Iss 2, Pp 1-17 (2019)
Druh dokumentu: article
ISSN: 1841-3307
DOI: 10.2478/awutm-2019-0011
Popis: The object of the present paper is to study generalized weakly symmetric and generalized weakly Ricci symmetric Kenmotsu manifolds whose metric tensor is η-Ricci soliton. The paper also aims to bring out curvature conditions for which η-Ricci solitons in Kenmotsu manifolds are sometimes shrinking or expanding and some other time remain steady. The existence of each generalized weakly symmetric and generalized weakly Ricci symmetric Kenmotsu manifold is ensured by an example.
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