Geometric solitons in a $D$-homothetically deformed Kenmotsu manifold
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866916873898033152 |
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| author | Blaga, Adara M. |
| author_facet | Blaga, Adara M. |
| contents | We consider almost Riemann and almost Ricci solitons in a $D$-homothetically deformed Kenmotsu manifold having as potential vector field a gradient vector field, a solenoidal vector field or the Reeb vector field of the deformed structure, and explicitly obtain the Ricci and scalar curvatures for some cases. We also provide a lower bound for the Ricci curvature of the initial Kenmotsu manifold when the deformed manifold admits a gradient almost Riemann or almost Ricci soliton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_03502 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Geometric solitons in a $D$-homothetically deformed Kenmotsu manifold Blaga, Adara M. Differential Geometry 35C08, 35Q51, 53B05 We consider almost Riemann and almost Ricci solitons in a $D$-homothetically deformed Kenmotsu manifold having as potential vector field a gradient vector field, a solenoidal vector field or the Reeb vector field of the deformed structure, and explicitly obtain the Ricci and scalar curvatures for some cases. We also provide a lower bound for the Ricci curvature of the initial Kenmotsu manifold when the deformed manifold admits a gradient almost Riemann or almost Ricci soliton. |
| title | Geometric solitons in a $D$-homothetically deformed Kenmotsu manifold |
| topic | Differential Geometry 35C08, 35Q51, 53B05 |
| url | https://arxiv.org/abs/2008.03502 |