A new approach to the study of spacelike submanifolds in a spherical Friedmann–Lemaître–Robertson–Walker spacetime: characterization of the stationary spacelike submanifolds as an application
DOI10.1088/1751-8121/acd502zbMath1519.53056arXiv2208.13625OpenAlexW4376271972MaRDI QIDQ6155938
Eraldo A. jun. Lima, Francisco J. Palomo, Alfonso Romero, Danilo Ferreira
Publication date: 7 June 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.13625
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Relativistic cosmology (83F05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complete spacelike hypersurfaces in generalized Robertson-Walker and the null convergence condition: Calabi-Bernstein problems
- A characteristic eigenfunction for minimal hypersurfaces in space forms
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems
- On the geometry of generalized Robertson-Walker spacetimes: geodesics.
- Minimal immersions of Riemannian manifolds
- Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
- Complete stationary spacelike surfaces in an \(n\)-dimensional generalized Robertson-Walker spacetime
- Hypersurfaces of revolution with proportional principal curvatures
- Lorentzian manifolds isometrically embeddable in 𝕃^{ℕ}
- Rotation Hypersurfaces in Spaces of Constant Curvature
- General Relativity for Mathematicians
- On the Gaussian curvature of maximal surfaces in n -dimensional generalized Robertson - Walker spacetimes
- Timelike surfaces with constant mean curvature in Lorentz three-space
This page was built for publication: A new approach to the study of spacelike submanifolds in a spherical Friedmann–Lemaître–Robertson–Walker spacetime: characterization of the stationary spacelike submanifolds as an application
