Almost $η$-Ricci solitons in $(LCS)_n$-manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866912513554120704 |
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| author | Blaga, Adara M. |
| author_facet | Blaga, Adara M. |
| contents | We consider almost $η$-Ricci solitons in $(LCS)_n$-manifolds satisfying certain curvature conditions. We provide a lower and an upper bound for the norm of the Ricci curvature in the gradient case, derive a Bochner-type formula for an almost $η$-Ricci soliton and state some consequences of it on an $(LCS)_n$-manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1707_09343 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Almost $η$-Ricci solitons in $(LCS)_n$-manifolds Blaga, Adara M. Differential Geometry 53B30, 53C15, 53C21, 53C25, 53C44 We consider almost $η$-Ricci solitons in $(LCS)_n$-manifolds satisfying certain curvature conditions. We provide a lower and an upper bound for the norm of the Ricci curvature in the gradient case, derive a Bochner-type formula for an almost $η$-Ricci soliton and state some consequences of it on an $(LCS)_n$-manifold. |
| title | Almost $η$-Ricci solitons in $(LCS)_n$-manifolds |
| topic | Differential Geometry 53B30, 53C15, 53C21, 53C25, 53C44 |
| url | https://arxiv.org/abs/1707.09343 |