Open Accessη-Ricci solitons in Kenmotsu manifolds
Author(s) -
Kanak Kanti Baishya,
P. Chowdhury
Publication year - 2019
Publication title -
analele universităţii din timişoara. seria matematică-informatică/analele universităţii de vest din timişoara. seria matematică-informatică
Language(s) - English
Resource type - Journals
eISSN - 1841-3307
pISSN - 1841-3293
DOI - 10.2478/awutm-2019-0011
Subject(s) - ricci curvature , curvature of riemannian manifolds , ricci decomposition , ricci flat manifold , riemann curvature tensor , manifold (fluid mechanics) , mathematics , pure mathematics , metric (unit) , curvature , einstein manifold , mathematical analysis , scalar curvature , sectional curvature , geometry , mechanical engineering , operations management , economics , engineering
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.