Entire downward translating solitons to the mean curvature flow in Minkowski space
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Publication:2809206
DOI10.1090/PROC/12969zbMath1346.53062arXiv1505.01581OpenAlexW2963145454MaRDI QIDQ2809206
Publication date: 27 May 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.01581
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Quasilinear elliptic equations (35J62)
Related Items (11)
Bi-Halfspace and Convex Hull Theorems for Translating Solitons ⋮ Entire downward solitons to the scalar curvature flow in Minkowski space ⋮ Spacelike translating solitons of mean curvature flow with forcing term in Lorentzian product spaces ⋮ Translators asymptotic to cylinders ⋮ Spacelike mean curvature flow solitons, polynomial volume growth and stochastic completeness of spacelike hypersurfaces immersed into pp-wave spacetimes ⋮ Solitons of the spacelike mean curvature flow in generalized Robertson-Walker spacetimes ⋮ ON THE GEOMETRY OF SPACELIKE MEAN CURVATURE FLOW SOLITONS IMMERSED IN A GRW SPACETIME ⋮ The prescribed curvature problem for entire hypersurfaces in Minkowski space ⋮ Translating solitons in Riemannian products ⋮ A zoo of translating solitons on a parallel light-like direction in Minkowski 3-space ⋮ Translating solitons of the mean curvature flow in the space \(\mathbb{H}^2\times \mathbb{R}\)
Cites Work
- Mean curvature flow with a forcing term in Minkowski space
- Spacelike hypersurfaces with prescribed boundary values and mean curvature
- Convex solutions of certain elliptic equations have constant rank Hessians
- Four-manifolds with positive curvature operator
- Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Elliptic partial differential equations of second order
- Translating solutions to mean curvature flow with a forcing term in Minkowski space
- Gauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space
- Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes
- Harmonic functions on complete riemannian manifolds
- Maximum principles on Riemannian manifolds and applications
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