Riemannian CR manifolds and ρ-Einstein solitons: a geometric analysis and applications
Keywords:
ρ-Einstein soliton, Einstein manifolds, Riemannian CR manifoldsAbstract
In this article, we investigate $\rho$-Einstein solitons on Riemannian CR manifolds. Specifically, we explore the properties of $\rho$-Einstein solitons in the presence of cyclic $\eta$-recurrent Ricci tensors on Riemannian CR manifolds. We also examine these solitons with respect to Torse-forming vector fields. Additionally, we study $\rho$-Einstein solitons satisfying Ricci semi-symmetric condition on Riemannian CR manifolds. Furthermore, we examine the properties of conharmonic and conformal curvature tensors on Riemannian CR manifolds admitting $\rho$-Einstein solitons. Finally, we discuss the applications of $\rho$-Einstein solitons and their potential uses in various fields.
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