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Smooth convergence to the enveloping cylinder for mean curvature flow of complete graphical hypersurfaces
Wolfgang Maurer
For a mean curvature flow of complete graphical hypersurfaces defined over domains , the enveloping cylinder is $\partialΩ_{t}\times\…
-flow of mean convex, complete graphical hypersurfaces
Wolfgang Maurer
We consider the evolution of hypersurfaces in with normal velocity given by a positive power of the mean curvature. The hypersurfaces under consideration are ass…
Mean curvature flow of symmetric double graphs only develops singularities on the hyperplane of symmetry
Wolfgang Maurer
By a symmetric double graph we mean a hypersurface which is mirror-symmetric and the two symmetric parts are graphs over the hyperplane of symmetry. We prove that there is a weak s…
Mean curvature flow in asymptotically flat product spacetimes
Klaus Kroencke, Oliver Lindblad Petersen, Felix Lubbe +6
We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold , where is asymptotically flat.…
Shadows of graphical mean curvature flow
Wolfgang Maurer
We consider mean curvature flow of an initial surface that is the graph of a function over some domain of definition in . If the graph is not complete then we impose a constan…