| Autor: |
Henrique F. de Lima, Andre F. A. Ramalho, Marco Antonio L. Velasquez |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Differential Equations, Vol 2020, Iss 83,, Pp 1-19 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
In this article, we study the solutions for the mean curvature equation in a weighted standard static spacetime, $\mathbb{P}_f^n\times_\rho\mathbb{R}_1$, having a warping function $\rho$ whose weight function f does not depend on the parameter $t\in\mathbb{R}$. We establish a f-parabolicity criterion to study the rigidity of spacelike hypersurfaces immersed in $\mathbb{P}_f^n\times_\rho\mathbb{R}_1$ and, in particular, of entire Killing graphs constructed over the Riemannian base $\mathbb{P}^n$. Also we give applications to weighted standard static spacetimes of the type $\mathbb{G}^n\times_\rho\mathbb{R}_1$, where $\mathbb G^n$ is the Gaussian space. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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