The inverse mean curvature flow perpendicular to the sphere

Ben Lambert; Julian Scheuer

arxiv: 1410.5359 · v1 · pith:2WNFEOWTnew · submitted 2014-10-20 · 🧮 math.DG · math.AP

The inverse mean curvature flow perpendicular to the sphere

Ben Lambert , Julian Scheuer This is my paper

classification 🧮 math.DG math.AP

keywords flowbetacurvaturehypersurfacesinversemeanperpendicularsphere

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We consider the smooth inverse mean curvature flow of strictly convex hypersurfaces with boundary embedded in $\mathbb{R}^{n+1},$ which are perpendicular to the unit sphere from the inside. We prove that the flow hypersurfaces converge to the embedding of a flat disk in the norm of $C^{1,\beta},$ $\beta<1.$

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The inverse mean curvature flow perpendicular to the sphere

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