Mean curvature flow of graphs in generalized Robertson-Walker spacetimes with perpendicular Neumann boundary condition

DOI10.1007/s10231-022-01266-yOpenAlexW4294927326MaRDI QIDQ2687964

Fernanda Roing, Jorge Herbert S. de Lira

Publication date: 7 March 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04158

zbMATH Keywords

mean curvature flowconstant mean curvature hypersurfacesgeneralized Robertson-Walker spacetimes

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Flows related to mean curvature (53E10)

Cites Work

• Flow by mean curvature of convex surfaces into spheres
• Stability of spacelike hypersurfaces in foliated spacetimes
• 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
• Interior estimates and longtime solutions for mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
• Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes
• Maximum Principles and Geometric Applications
• Spacelike hypersurfaces of constant mean curvature in certain spacetimes
• Book Review: Lecture notes on mean curvature flow: barriers and singular perturbations
• The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition
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