Gradient solitons on statistical manifolds
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2020
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909714318622720 |
|---|---|
| author | Blaga, Adara M. Chen, Bang-Yen |
| author_facet | Blaga, Adara M. Chen, Bang-Yen |
| contents | We provide necessary and sufficient conditions for some particular couples $(g,\nabla)$ of pseudo-Riemannian metrics and affine connections to be statistical structures if we have gradient almost Einstein, almost Ricci, almost Yamabe solitons, or a more general type of solitons on the manifold. In particular cases, we establish a formula for the volume of the manifold and give a lower and an upper bound for the norm of the Ricci curvature tensor field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_13470 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Gradient solitons on statistical manifolds Blaga, Adara M. Chen, Bang-Yen Differential Geometry 35C08, 35Q51, 53B05 We provide necessary and sufficient conditions for some particular couples $(g,\nabla)$ of pseudo-Riemannian metrics and affine connections to be statistical structures if we have gradient almost Einstein, almost Ricci, almost Yamabe solitons, or a more general type of solitons on the manifold. In particular cases, we establish a formula for the volume of the manifold and give a lower and an upper bound for the norm of the Ricci curvature tensor field. |
| title | Gradient solitons on statistical manifolds |
| topic | Differential Geometry 35C08, 35Q51, 53B05 |
| url | https://arxiv.org/abs/2005.13470 |