<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The object of the present paper is to study generalized weakly symmetric and generalized weakly Ricci symmetric Kenmotsu manifolds whose metric tensor is <italic>η</italic>-Ricci soliton. The paper also aims to bring out curvature conditions for which <italic>η-</italic>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.</p>
</abstract>

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.

<italic>η</italic>-Ricci solitons in Kenmotsu manifolds

Department of Mathematics, Shaktigarh Bidyapith(H.S)

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":{"italic":"η","content":"-Ricci solitons in Kenmotsu manifolds"}}

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 solitons in Kenmotsu manifolds

Published Online: Dec 21, 2020

Page range: 1 - 17

DOI: https://doi.org/10.2478/awutm-2019-0011

Keywords
generalized generalized weakly symmetric Kenmotsu manifolds, η-Ricci soliton

© 2019 Kanak Kanti Baishya et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

η-Ricci solitons in Kenmotsu manifolds

Published Online: Dec 21, 2020

Page range: 1 - 17

DOI: https://doi.org/10.2478/awutm-2019-0011

Keywordsgeneralized generalized weakly symmetric Kenmotsu manifolds, η-Ricci soliton

© 2019 Kanak Kanti Baishya et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
generalized generalized weakly symmetric Kenmotsu manifolds, η-Ricci soliton