Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes

DOI10.1016/j.na.2015.08.018zbMath1328.53066OpenAlexW1815982766WikidataQ126209638 ScholiaQ126209638MaRDI QIDQ893303

Luis J. Alías, Marco Rigoli, Simona Scoleri

Publication date: 13 November 2015

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.2015.08.018

zbMATH Keywords

weak maximum principlegeneralized Robertson-Walker spacetimesLorentzian mean curvature operatorspace-like graphs

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (2)

Stable maximal hypersurfaces in Lorentzian spacetimes ⋮ Generalized Robertson–Walker spacetimes — A survey

Cites Work

• Unnamed Item
• Unnamed Item
• Height estimates and half-space theorems for spacelike hypersurfaces in generalized Robertson-Walker spacetimes
• The Gauss map of a spacelike constant mean curvature hypersurface of Minkowski space
• A relation between growth and the spectrum of the Laplacian
• On the Gauss image of a spacelike hypersurface with constant mean curvature in Minkowski space
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• On the Gauss map of complete space-like hypersurfaces of constant mean curvature in Minkowski space
• A general form of the weak maximum principle and some applications
• Spacelike graphs with parallel mean curvature
• Some remarks on the weak maximum principle
• A note on the isoperimetric constant
• Differential equations on riemannian manifolds and their geometric applications
• General Relativity for Mathematicians
• Maximum principles on Riemannian manifolds and applications
• A remark on the maximum principle and stochastic completeness
• Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
• The Large Scale Structure of Space-Time
• The Herbrand topos
• General Relativity

This page was built for publication: Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes