Spacelike surfaces with positive definite second fundamental form in 3D spacetimes
type: Item
instance of: scholarly article
title: Spacelike surfaces with positive definite second fundamental form in 3D spacetimes
zbMATH Open document ID: 1108.53027
author: Juan A. Aledo
author: Stefan Haesen
author: Alfonso Romero
published in: Journal of Geometry and Physics
publication date: 2007-02-13T00:00:00Z
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 5125277
zbMATH Keywords: space-time
zbMATH Keywords: compact space-like surface
zbMATH Keywords: positive definite second fundamental form
zbMATH Keywords: Gauss curvature
MaRDI profile type: Publication
full work available at URL: j.geomphys.2006.07.002
OpenAlex ID: W2069370424
cites work: Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature
cites work: A new proof of Liebmann classical rigidity theorem for surfaces in space forms
cites work: Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form.
cites work: Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
cites work: On the global evolution problem in \(2+1\) gravity
cites work: Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
cites work: Quantum gravity in \(2+1\) dimensions: the case of a closed universe
cites work: Q5784032
cites work: Linear perturbations of connexions
cites work: The curvature of \(\alpha I+\beta II+\gamma III\) on a surface in a 3- manifold of constant curvature
cites work: A Characteristic Property of the Sphere
cites work: Global rigidity theorems of hypersurfaces
cites work: Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space
cites work: Closed Convex Hypersurfaces with Second Fundamental Form of Constant Curvature
cites work: Characterizations of the Sphere by the Curvature of the Second Fundamental Form
DOI: 10.1016/J.GEOMPHYS.2006.07.002
description: scientific article; zbMATH DE number 5125277