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

Autor:	Patra, Dhriti Sundar, Ali, Akram, Mofarreh, Fatemah
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs Primary 53C15 Secondary 53C25 53D15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 12 pages. arXiv admin note: text overlap with arXiv:2008.12497
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.01459 Zobrazit plný text záznamu View this record from Arxiv