Remarks on Einstein solitons with certain types of potential vector field
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912513617035264 |
|---|---|
| author | Blaga, Adara M. Latcu, Dan Radu |
| author_facet | Blaga, Adara M. Latcu, Dan Radu |
| contents | We consider almost Einstein solitons $(V,λ)$ in a Riemannian manifold when $V$ is a gradient, a solenoidal or a concircular vector field. We explicitly express the function $λ$ by means of the gradient vector field $V$ and illustrate the result with suitable examples. Moreover, we deduce some geometric properties when the Ricci curvature tensor of the manifold satisfies certain symmetry conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_02954 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Remarks on Einstein solitons with certain types of potential vector field Blaga, Adara M. Latcu, Dan Radu Differential Geometry We consider almost Einstein solitons $(V,λ)$ in a Riemannian manifold when $V$ is a gradient, a solenoidal or a concircular vector field. We explicitly express the function $λ$ by means of the gradient vector field $V$ and illustrate the result with suitable examples. Moreover, we deduce some geometric properties when the Ricci curvature tensor of the manifold satisfies certain symmetry conditions. |
| title | Remarks on Einstein solitons with certain types of potential vector field |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2103.02954 |