Solitons of the spacelike mean curvature flow in generalized Robertson-Walker spacetimes
From MaRDI portal
Publication:6163761
zbMath1525.53090MaRDI QIDQ6163761
Giovanni Molica Bisci, Márcio Batista, Wallace F. Gomes, Henrique Fernandes de Lima
Publication date: 30 June 2023
Published in: The New York Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://nyjm.albany.edu/j/2023/29-23.html
generalized Robertson-Walker spacetimeCalabi-Bernstein type resultsspace-like mean curvature flow solitons
Cites Work
- On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime
- Translating spacelike graphs by mean curvature flow with prescribed contact angle
- Mean curvature flow of spacelike graphs
- On subharmonic functions and differential geometry in the large
- Mean curvature flow with a forcing term in Minkowski space
- New examples of entire maximal graphs in \(\mathbb H^2 \times \mathbb R_1\)
- 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
- Hypersurfaces of prescribed mean curvature in Lorentzian manifolds
- Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature
- Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
- Mean curvature flow solitons in the presence of conformal vector fields
- 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
- Isometric immersions of Riemannian manifolds
- Translating solitons of 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
- 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
- Maximum Principles and Geometric Applications
- Harmonic functions on complete riemannian manifolds
- 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
- Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems
- Mean curvature flow of compact spacelike submanifolds in higher codimension
- 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
- A New Model for the Expanding Universe
- On the Generation of Magnetism by Fluid Motion
- Spacelike hypersurfaces with constant mean curvature in the steady state space
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item