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arXiv · 1112.5626

Non-scale-invariant inverse curvature flows in Euclidean space

Claus Gerhardt
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Abstract

We consider the inverse curvature flows $\dot x=F^{-p}ν$ of closed star-shaped hypersurfaces in Euclidean space in case $0 1$, the flow blows up in finite time, and where we assume the initial hypersurface to be strictly convex. In both cases the properly rescaled flows converge to the unit sphere.

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Claus Gerhardt. 2012-12-26. Non-scale-invariant inverse curvature flows in Euclidean space. https://doi.org/10.1007/s00526-012-0589-x

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