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Moving surfaces by non-concave curvature functions

Ben Andrews
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Abstract

A convex surface contracting by a strictly monotone, homogeneous degree one function of curvature remains smooth until it contracts to a point in finite time, and is asymptotically spherical in shape. No assumptions are made on the concavity of the speed as a function of principal curvatures.

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Ben Andrews. 2004-02-17. Moving surfaces by non-concave curvature functions. https://arxiv.org/abs/math/0402273

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