Kenmotsu Contact Geometry Through the Lens of $\ast-\boldsymbolκ$-Ricci-Bourguignon Almost Solitons
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917211354955776 |
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| author | Kumar, Lavanya Roy, Soumendu |
| author_facet | Kumar, Lavanya Roy, Soumendu |
| contents | This paper focuses on the study of the newly introduced $\ast-\boldsymbolκ$-Ricci-Bourguignon almost soliton pertaining to Kenmotsu structure manifolds. Our analysis concerns the characteristics of this soliton and derive the scalar curvature for a Kenmotsu manifold admitting such a structure. Further, we formulate the corresponding vector fields under the assumption that the manifold supports a $\ast-\boldsymbolκ-$Ricci-Bourguignon soliton. Additionally, we explore applications involving torse-forming vector fields within the framework of the $\ast-\boldsymbolκ-$Ricci-Bourguignon almost soliton on Kenmotsu structure manifolds. To support the theoretical findings, we provide a concrete illustration belonging to a $\ast-\boldsymbolκ-$Ricci-Bourguignon almost soliton in a 5D Kenmotsu structure manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13661 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kenmotsu Contact Geometry Through the Lens of $\ast-\boldsymbolκ$-Ricci-Bourguignon Almost Solitons Kumar, Lavanya Roy, Soumendu Differential Geometry 53C21, 53C25, 53D10 This paper focuses on the study of the newly introduced $\ast-\boldsymbolκ$-Ricci-Bourguignon almost soliton pertaining to Kenmotsu structure manifolds. Our analysis concerns the characteristics of this soliton and derive the scalar curvature for a Kenmotsu manifold admitting such a structure. Further, we formulate the corresponding vector fields under the assumption that the manifold supports a $\ast-\boldsymbolκ-$Ricci-Bourguignon soliton. Additionally, we explore applications involving torse-forming vector fields within the framework of the $\ast-\boldsymbolκ-$Ricci-Bourguignon almost soliton on Kenmotsu structure manifolds. To support the theoretical findings, we provide a concrete illustration belonging to a $\ast-\boldsymbolκ-$Ricci-Bourguignon almost soliton in a 5D Kenmotsu structure manifold. |
| title | Kenmotsu Contact Geometry Through the Lens of $\ast-\boldsymbolκ$-Ricci-Bourguignon Almost Solitons |
| topic | Differential Geometry 53C21, 53C25, 53D10 |
| url | https://arxiv.org/abs/2601.13661 |