About the parabolicity of trapped submanifolds in standard static spacetimes
DOI10.1016/J.NA.2020.112037zbMath1448.53018OpenAlexW3037755946MaRDI QIDQ2199975
Fernanda Roing, Eraldo A. jun. Lima, M. G. C. Andrade
Publication date: 14 September 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2020.112037
mean curvature vector fieldstandard static spacetimesparabolic space-like submanifoldsweakly trapped submanifolds
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rigidity of complete hypersurfaces in warped product spaces via higher order mean curvatures
- Marginally trapped submanifolds in generalized Robertson-Walker spacetimes
- Parabolicity of manifolds
- Weakly trapped submanifolds immersed in generalized Robertson-Walker spacetimes
- Weakly trapped submanifolds in standard static spacetimes
- Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space
- Geometric elliptic functionals and mean curvature
- Uniqueness of complete maximal hypersurfaces in spatially parabolic generalized Robertson–Walker spacetimes
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Lorentzian manifolds admitting a killing vector field
- Trapped surfaces and symmetries
- Solving the $p$-Laplacian on manifolds
- Gravitational Collapse and Space-Time Singularities
- Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product
- The Large Scale Structure of Space-Time
- Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems
This page was built for publication: About the parabolicity of trapped submanifolds in standard static spacetimes
