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A pinching estimate for convex hypersurfaces evolving under a non-homogeneous variant of mean curvature flow
Published online by Cambridge University Press: 18 April 2022
Abstract
We study a variant of the mean curvature flow for closed, convex hypersurfaces where the normal velocity is a non-homogeneous function of the principal curvatures. We show that if the initial hypersurface satisfies a certain pinching condition, then this is preserved and the flow converges to a sphere under rescaling.
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- Research Article
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- Copyright © The Author(s), 2022. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society
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