Some Curvature Conditions on 3-Dimensional Quasi-Sasakian Manifolds Admitting Conformal Ricci Soliton

Authors : Müslüm Aykut Akgün, Bilal Eftal Acet

Pages : 375-381

Doi:10.47000/tjmcs.1082849

View : 44 | Download : 55

Publication Date : 2023-12-31

Article Type : Research

Abstract :In this paper, we examine 3-dimensional quasi-Sasakian manifold admitting conformal Ricci soliton. We give some theorems for $W_{0}^{*}$ flat, $\\xi-W_{0}^{*}$ flat and $\\phi-W_{0}^{*}$ semisymmetric 3-dimensional quasi-Sasakian manifold admitting conformal Ricci soliton. Also we study conformal Ricci soliton on a 3-dimensional quasi-Sasakian manifold satisfying the conditions $W_{0}^{*}(\\xi,X).S=0$ and $R(\\xi,X).W_{0}^{*}=0$.
Keywords : Ricci soliton, conformal Ricci soliton, quasi-Sasakian manifold.