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- W4309013273 abstract "In this article, a Ricci soliton and *-conformal Ricci soliton are examined in the framework of trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three-dimensional trans-Sasakian manifold of type (α,β) admits a Ricci soliton where the covariant derivative of potential vector field V in the direction of unit vector field ξ is orthogonal to ξ. It is also demonstrated that if the structure functions meet α2=β2, then the covariant derivative of V in the direction of ξ is a constant multiple of ξ. Furthermore, the nature of scalar curvature is evolved when the manifold of type (α,β) satisfies *-conformal Ricci soliton, provided α≠0. Finally, an example is presented to verify the findings." @default.
- W4309013273 created "2022-11-20" @default.
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- W4309013273 date "2022-11-11" @default.
- W4309013273 modified "2023-10-14" @default.
- W4309013273 title "Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold" @default.
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- W4309013273 doi "https://doi.org/10.3390/universe8110595" @default.
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