Open AccessConformal $ \eta $-Ricci solitons within the framework of indefinite Kenmotsu manifolds
Author(s) -
Yanlin Li,
AUTHOR_ID,
Dipen Ganguly,
Santu Dey,
Arindam Bhattacharyya,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022300
Subject(s) - conformal map , curvature of riemannian manifolds , ricci curvature , ricci flat manifold , soliton , mathematical physics , manifold (fluid mechanics) , curvature , riemann curvature tensor , mathematics , pure mathematics , einstein manifold , mathematical analysis , physics , scalar curvature , sectional curvature , geometry , quantum mechanics , nonlinear system , mechanical engineering , engineering
The present paper is to deliberate the class of $ \epsilon $-Kenmotsu manifolds which admits conformal $ \eta $-Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal $ \eta $-Ricci soliton of $ \epsilon $-Kenmotsu manifolds. Moving further, we investigate some curvature conditions admitting conformal $ \eta $-Ricci solitons on $ \epsilon $-Kenmotsu manifolds. Next, we consider gradient conformal $ \eta $-Ricci solitons and we present a characterization of the potential function. Finally, we develop an illustrative example for the existence of conformal $ \eta $-Ricci soliton on $ \epsilon $-Kenmotsu manifold.