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arXiv · 1908.10360

The logarithmic Sobolev inequality for a submanifold in Euclidean space

S. Brendle
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Abstract

We prove a sharp logarithmic Sobolev inequality which holds for submanifolds in Euclidean space of arbitrary dimension and codimension. Like the Michael-Simon Sobolev inequality, this inequality includes a term involving the mean curvature.

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S. Brendle. 2019-08-27. The logarithmic Sobolev inequality for a submanifold in Euclidean space. https://arxiv.org/abs/1908.10360

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