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Geometry of almost contact metrics as almost $*$-Ricci solitons

Authors :
Dhriti Sundar Patra
Akram Ali
Fatemah Mofarreh
Source :
Web of Science
Publication Year :
2021

Abstract

In the present paper, we give some characterizations by considering $*$-Ricci soliton as a Kenmotsu metric. We prove that if a Kenmotsu manifold represents an almost $*$-Ricci soliton with the potential vector field $V$ is a Jacobi along the Reeb vector field, then it is a steady $*$-Ricci soliton. Next, we show that a Kenmotsu matric endowed an almost $*$-Ricci soliton is Einstein metric if it is $\eta$-Einstein or the potential vector field $V$ is collinear to the Reeb vector field or $V$ is an infinitesimal contact transformation.<br />Comment: 12 pages. arXiv admin note: text overlap with arXiv:2008.12497

Details

Language :
English
Database :
OpenAIRE
Journal :
Web of Science
Accession number :
edsair.doi.dedup.....0a93328752aa942e4b88584589da8fba