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Characteristics of almost conformal Ricci solitons on Sasakian manifold

Authors :
Ganguly, Dipen
Basu, Nirabhra
Bhattacharyya, Arindam
Publication Year :
2021

Abstract

In this paper, we characterize the potential function $f$ of the almost conformal gradient Ricci soliton on a Sasakian manifold in terms of the non-dynamical scalar field $p$ and deduce the necessary condition for the potential function $f$ to be constant. Furthermore, a relation between $\lambda$ and the potential function $f$ has been established. Finally, we prove a sufficient condition for an almost conformal Ricci soliton to be an almost conformal gradient Ricci soliton and also a characterization of the soliton in terms of shrinking, steady or expanding has been done.<br />Comment: 12 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2104.04801
Document Type :
Working Paper