Entire Graphs Evolving by Powers of the Mean Curvature

2011/12/19 by Martin Franzen, Franzen, Martin · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities #math.DG #msc:53C44

paper · pdf · doi:10.48550/arxiv.1112.4359

14 pages, 2 figures. arXiv admin note: text overlap with arXiv:math/0612659 by different authors

arxiv created 2011/12/19 · arxiv updated 2011/12/20

Abstract

We study convex entire graphs evolving with normal velocity equal to a positive power of the mean curvature. Under mild assumptions we prove longtime existence.

Citations

• Entire spacelike hypersurfaces of constant Gauss curvature in Minkowski space

Cited by

• H^α-flow of mean convex, complete graphical hypersurfaces

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