Height estimates and half-space theorems for spacelike hypersurfaces in generalized Robertson-Walker spacetimes

DOI10.1016/j.difgeo.2013.10.017zbMath1283.53056OpenAlexW2053550662WikidataQ115356432 ScholiaQ115356432MaRDI QIDQ389349

Debora Impera, Sandra C. García-Martínez

Publication date: 20 January 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.10.017

zbMATH Keywords

Laplaciantopology at infinityconstant \(k\)-mean curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes ⋮ Height estimates and half-space type theorems in weighted product spaces with nonnegative Bakry-Émery-Ricci curvature ⋮ Generalized Robertson–Walker spacetimes — A survey ⋮ Generalized linear Weingarten spacelike hypersurfaces in GRW spacetimes: height estimates and half-space theorems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Area monotonicity for spacelike surfaces with constant mean curvature
• A sharp height estimate for compact spacelike hypersurfaces with constant \(r\)-mean curvature in the Lorentz-Minkowski space and application
• Space-like hypersurfaces with positive constant \(r\) -mean curvature in Lorentzian product spaces
• Isolated maximal surfaces in spacetime
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Stability of hypersurfaces with constant \(r\)-mean curvature
• Complete non-compact spacelike hypersurfaces of constant mean curvature in de Sitter spaces
• Constant positive 2-mean curvature hypersurfaces
• Uniqueness of noncompact spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications
• A general form of the weak maximum principle and some applications
• Embedded positive constant r-mean curvature hypersurfaces in Mm × R
• Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson–Walker spacetimes
• IMMERSION OF MANIFOLDS WITH UNBOUNDED IMAGE AND A MODIFIED MAXIMUM PRINCIPLE OF YAU
• INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
• Maximum principles on Riemannian manifolds and applications
• Hypersurfaces of constant higher order mean curvature in warped products
• Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
• The Large Scale Structure of Space-Time
• Spacelike hypersurfaces with constant mean curvature in the steady state space

This page was built for publication: Height estimates and half-space theorems for spacelike hypersurfaces in generalized Robertson-Walker spacetimes