Characterizations of $\ast$-Ricci-Bourguignon solitons on Kenmotsu manifolds
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914269810917376 |
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| author | Roy, Soumendu Ramasamy, Karthika Kumar, Lavanya Jana, Purabi |
| author_facet | Roy, Soumendu Ramasamy, Karthika Kumar, Lavanya Jana, Purabi |
| contents | In this paper, we have found some features of $\ast$- Ricci Bourguignon Soliton on Kenmotsu manifold. We estimated the conditions for $\ast$-Ricci Bourguignon on Kenmotsu manifold to be compressing, balancing or enlarging accordingly. We have found some curvature properties of Kenmotsu manifold admitting $\ast$-Ricci Bourguignon Soliton. Additionally, we have featured $\ast$-Ricci Bourguignon on Kenmotsu manifold with torse-forming vector field. Finally, we proved an example of $5$-dimensional Kenmotsu manifold on $\ast$-Ricci Bourguignon Soliton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15009 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characterizations of $\ast$-Ricci-Bourguignon solitons on Kenmotsu manifolds Roy, Soumendu Ramasamy, Karthika Kumar, Lavanya Jana, Purabi Differential Geometry 53C21, 53C25, 53D10 In this paper, we have found some features of $\ast$- Ricci Bourguignon Soliton on Kenmotsu manifold. We estimated the conditions for $\ast$-Ricci Bourguignon on Kenmotsu manifold to be compressing, balancing or enlarging accordingly. We have found some curvature properties of Kenmotsu manifold admitting $\ast$-Ricci Bourguignon Soliton. Additionally, we have featured $\ast$-Ricci Bourguignon on Kenmotsu manifold with torse-forming vector field. Finally, we proved an example of $5$-dimensional Kenmotsu manifold on $\ast$-Ricci Bourguignon Soliton. |
| title | Characterizations of $\ast$-Ricci-Bourguignon solitons on Kenmotsu manifolds |
| topic | Differential Geometry 53C21, 53C25, 53D10 |
| url | https://arxiv.org/abs/2601.15009 |