Curvature properties of pseudosymmetry type of some 2-quasi-Einstein manifolds
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916668753575936 |
|---|---|
| author | Deszcz, Ryszard Głogowska, Małgorzata Jełowicki, Jan Petrović-Torgašev, Miroslava Zafindratafa, Georges |
| author_facet | Deszcz, Ryszard Głogowska, Małgorzata Jełowicki, Jan Petrović-Torgašev, Miroslava Zafindratafa, Georges |
| contents | Let (M,g) be a 2-quasi-Einstein non-conformally flat semi-Riemannian manifold of dimension > 3. We prove that if its Riemann-Christoffel curvature tensor R is a linear combination of some Kulkarni-Nomizu tensors formed by the metric tensor g, the Ricci tensor S and its square S^2, then some pseudosymmetry type curvature conditions are satisfied. Certain non-conformally flat warped product manifolds with 2-dimensional base, and in particular some spacetimes, are such 2-quasi Einstein manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18865 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Curvature properties of pseudosymmetry type of some 2-quasi-Einstein manifolds Deszcz, Ryszard Głogowska, Małgorzata Jełowicki, Jan Petrović-Torgašev, Miroslava Zafindratafa, Georges Differential Geometry 53B20, 53B25, 53C40 Let (M,g) be a 2-quasi-Einstein non-conformally flat semi-Riemannian manifold of dimension > 3. We prove that if its Riemann-Christoffel curvature tensor R is a linear combination of some Kulkarni-Nomizu tensors formed by the metric tensor g, the Ricci tensor S and its square S^2, then some pseudosymmetry type curvature conditions are satisfied. Certain non-conformally flat warped product manifolds with 2-dimensional base, and in particular some spacetimes, are such 2-quasi Einstein manifolds. |
| title | Curvature properties of pseudosymmetry type of some 2-quasi-Einstein manifolds |
| topic | Differential Geometry 53B20, 53B25, 53C40 |
| url | https://arxiv.org/abs/2405.18865 |