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arXiv · 2204.01983

The Boundary Term in Huisken's Monotonicity Formula and the Entropy of Translators

Brian White
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Abstract

For a manifold-with-boundary moving by mean curvature flow, the entropy at a later time is bounded by the entropy at an earlier time plus a boundary term. This paper controls the boundary term in a geometrically natural way. In particular, it shows (under mild hypotheses)that the entropy of a compact translator is less than or equal to the entropy of the boundary plus the maximal cone density of the boundary.

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Brian White. 2022-04-05. The Boundary Term in Huisken's Monotonicity Formula and the Entropy of Translators. https://arxiv.org/abs/2204.01983

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