ON THE GEOMETRY OF SPACELIKE MEAN CURVATURE FLOW SOLITONS IMMERSED IN A GRW SPACETIME

DOI10.1017/s1446788723000095OpenAlexW4386783916MaRDI QIDQ6200724

Henrique Fernandes de Lima, Márcio S. Santos, Marco Antonio L. Velásquez, Wallace F. Gomes

Publication date: 25 March 2024

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788723000095

zbMATH Keywords

spacelike mean curvature flow solitonsGRW spacetimes

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) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rigidity of self-shrinkers and translating solitons of mean curvature flows
• On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime
• The geometry of closed conformal vector fields on Riemannian spaces
• Translating spacelike graphs by mean curvature flow with prescribed contact angle
• Rigidity of quasi-Einstein metrics
• \(\phi \)-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime
• Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes
• Stability of spacelike hypersurfaces in foliated spacetimes
• New examples of entire maximal graphs in \(\mathbb H^2 \times \mathbb R_1\)
• Complete vertical graphs with constant mean curvature in semi-Riemannian warped products
• Stability of hypersurfaces with constant mean curvature
• Proof of the positive mass theorem. II
• On the proof of the positive mass conjecture in general relativity
• 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
• Translating solitons in Riemannian products
• Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature
• Mean curvature flow solitons in the presence of conformal vector fields
• Stability of mean curvature flow solitons in warped product spaces
• Remarks on mean curvature flow solitons in warped products
• Remark on a lower diameter bound for compact shrinking Ricci solitons
• Rigidity of complete spacelike translating solitons in pseudo-Euclidean space
• Free boundary stable hypersurfaces in manifolds with density and rigidity results
• Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space
• Riemannian manifolds admitting a certain conformal transformation group
• L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
• Spacelike mean curvature flow
• Entire downward translating solitons to the mean curvature flow in Minkowski space
• Uniqueness of complete maximal hypersurfaces in spatially parabolic generalized Robertson–Walker spacetimes
• On the Stability of $f$-Maximal Spacelike Hypersurfaces in Weighted Generalized Robertson–Walker Spacetimes
• INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
• Spacelike translating solitons in Lorentzian product spaces: Nonexistence, Calabi–Bernstein type results and examples
• Conformal Vector Fields in Compact Riemannian Manifolds
• The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition
• Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
• The Large Scale Structure of Space-Time
• The Steady-State Theory of the Expanding Universe
• A New Model for the Expanding Universe
• Vector fields and Ricci curvature
• Spacelike hypersurfaces with constant mean curvature in the steady state space

This page was built for publication: ON THE GEOMETRY OF SPACELIKE MEAN CURVATURE FLOW SOLITONS IMMERSED IN A GRW SPACETIME