Integral formulas in $h$-Almost Ricci-Bourguignon solitons
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915273099968512 |
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| author | Bousso, Abdou Traore, Moctar Ndiaye, Ameth |
| author_facet | Bousso, Abdou Traore, Moctar Ndiaye, Ameth |
| contents | The aim of this paper is to investigate some integral formulas for compact gradient $h$-almost Ricci-Bourguignon solitons. Consequently, we generalize the results previously ob tained for Ricci almost solitons. Moreover, we prove that a compact, non-trivial $h$-almost Ricci-Bourguignon soliton with dimension greater than or equal to 3 is isometric to a Euclidean
sphere, provided either the potential vector field is conformal or its scalar curvature is constant.
Finally, we generalize the integral formula for compact h-almost Ricci-Bourguignon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02193 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integral formulas in $h$-Almost Ricci-Bourguignon solitons Bousso, Abdou Traore, Moctar Ndiaye, Ameth Differential Geometry The aim of this paper is to investigate some integral formulas for compact gradient $h$-almost Ricci-Bourguignon solitons. Consequently, we generalize the results previously ob tained for Ricci almost solitons. Moreover, we prove that a compact, non-trivial $h$-almost Ricci-Bourguignon soliton with dimension greater than or equal to 3 is isometric to a Euclidean sphere, provided either the potential vector field is conformal or its scalar curvature is constant. Finally, we generalize the integral formula for compact h-almost Ricci-Bourguignon. |
| title | Integral formulas in $h$-Almost Ricci-Bourguignon solitons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.02193 |