A note on warped product almost quasi-Yamabe solitons
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866916873858187264 |
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| author | Blaga, Adara M. |
| author_facet | Blaga, Adara M. |
| contents | We consider almost quasi-Yamabe solitons in Riemannian manifolds, derive a Bochner-type formula in the gradient case and prove that under certain assumptions, the manifold is of constant scalar curvature. We also provide necessary and sufficient conditions for a gradient almost quasi-Yamabe soliton on the base manifold to induce a gradient almost quasi-Yamabe soliton on the warped product manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_05393 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | A note on warped product almost quasi-Yamabe solitons Blaga, Adara M. Differential Geometry Mathematical Physics 53C21, 53C44 We consider almost quasi-Yamabe solitons in Riemannian manifolds, derive a Bochner-type formula in the gradient case and prove that under certain assumptions, the manifold is of constant scalar curvature. We also provide necessary and sufficient conditions for a gradient almost quasi-Yamabe soliton on the base manifold to induce a gradient almost quasi-Yamabe soliton on the warped product manifold. |
| title | A note on warped product almost quasi-Yamabe solitons |
| topic | Differential Geometry Mathematical Physics 53C21, 53C44 |
| url | https://arxiv.org/abs/1804.05393 |