Almost Conformal $\eta$-Ricci Solitons in Three-Dimensional Lorentzian Concircular Structures

Authors : Md SİDDİQİ, S K CHAUBEY

Pages : 70-78

View : 25 | Download : 11

Publication Date : 2020-04-15

Article Type : Research Paper

Abstract :The object of the present paper is to study the properties of three-dimensional Lorentzian concircular structure insert ignore into journalissuearticles values($insert ignore into journalissuearticles values(LCS);_{3}$-);manifolds admitting the almost conformal $\eta$-Ricci solitons and gradient shrinking $\eta$-Ricci solitons. It is proved that an $insert ignore into journalissuearticles values(LCS);_3$-manifold with either an almost conformal $\eta$-Ricci soliton or a gradient shrinking $\eta$-Ricci soliton is a quasi-Einstein manifold. Also, the example of an almost conformal $\eta$-Ricci soliton in an $insert ignore into journalissuearticles values(LCS);_{3}$-manifold is provided in the region where $insert ignore into journalissuearticles values(LCS);_{3}$-manifold is expanding.
Keywords : eta Ricci solitons, LCS, n manifold, Quasi Einstein manifold, Einstein manifolds