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Inverse anisotropic mean curvature flow and a Minkowski type inequality (1506.08923v2)
Published 30 Jun 2015 in math.DG
Abstract: In this paper, we show that the inverse anisotropic mean curvature flow in $\mathbb{R}{n+1}$, initiating from a star-shaped, strictly $F$-mean convex hypersurface, exists for all time and after rescaling the flow converges exponentially fast to a rescaled Wulff shape in the $C\infty$ topology. As an application, we prove a Minkowski type inequality for star-shaped, $F$-mean convex hypersurfaces.