Abstract:In this manuscript, we investigate the characterizations of $\ast$-$\eta$-Schouten solitons on a Kenmotsu manifold when the potential vector field is torse-forming. We determine the nature of the soliton and derive the scalar curvature for a Kenmotsu manifold admitting a $\ast$-$\eta$-Schouten soliton. Further, we establish several conditions associated with the $\ast$-$\eta$-Schouten soliton. We also study the characterization of the vector field under the assumption that the manifold satisfies the $\ast$-$\eta$-Schouten soliton equation. Moreover, certain applications of torse-forming vector fields are discussed in the setting of $\ast$-$\eta$-Schouten solitons on Kenmotsu manifolds. In addition, we examine infinitesimal CL-transformations and the Schouten-Van Kampen connection on Kenmotsu manifolds whose metrics admit $\ast$-$\eta$-Schouten solitons. Finally, an example of a 3-dimensional Kenmotsu manifold admitting a $\ast$-$\eta$-Schouten soliton is constructed to verify the obtained results.
| Subjects: | Differential Geometry (math.DG) |
| Cite as: | arXiv:2605.25825 [math.DG] |
| (or arXiv:2605.25825v1 [math.DG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.25825 arXiv-issued DOI via DataCite (pending registration) |
From: Soumendu Roy [view email]
[v1]
Mon, 25 May 2026 13:21:31 UTC (28 KB)
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