Spacelike mean curvature flow solitons in standard static spacetimes and new Calabi-Bernstein type results

DOI10.1007/s11587-023-00775-zMaRDI QIDQ6601248

Jogli G. Araújo, Wallace F. Gomes, Henrique Fernandes de Lima

Publication date: 10 September 2024

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

entire space-like graphsstandard static spacetimesCalabi-Bernstein type resultsspace-like mean curvature flow solitonstime-like Killing vector fields

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rigidity of self-shrinkers and translating solitons of mean curvature flows
• On the \(L ^{1}\)-Liouville property of stochastically incomplete manifolds
• Entire bounded constant mean curvature Killing graphs
• Translating spacelike graphs by mean curvature flow with prescribed contact angle
• Mean curvature flow of spacelike graphs
• Mean curvature flow with a forcing term in Minkowski space
• Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
• Interior estimates and longtime solutions for mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
• Hypersurfaces of prescribed mean curvature in Lorentzian manifolds
• Translating solitons in Riemannian products
• Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
• Translating solutions to mean curvature flow with a forcing term in Minkowski space
• Mean curvature flow solitons in the presence of conformal vector fields
• Rotationally symmetric spacelike translating solitons for the mean curvature flow in Minkowski space
• Remarks on mean curvature flow solitons in warped products
• Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes
• Mean curvature flow of spacelike hypersurfaces near null initial data
• A note on the oblique derivative problem for graphical mean curvature flow in Minkowski space
• Entire spacelike translating solitons in Minkowski space
• Translating solitons of mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
• Spacelike hypersurfaces in spatially parabolic standard static spacetimes and Calabi-Bernstein-type problems
• Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes
• Spacelike mean curvature flow
• Entire downward translating solitons to the mean curvature flow in Minkowski space
• Mean curvature flow of compact spacelike submanifolds in higher codimension
• The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition
• The Large Scale Structure of Space-Time

This page was built for publication: Spacelike mean curvature flow solitons in standard static spacetimes and new Calabi-Bernstein type results