Abstract
We give a simple proof of the Lévy concentration of measure phenomenon on the sphere and on a compact Riemannian manifold with strictly positive Ricci curvature using the heat semigroup and Bochner's formula.
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Ledoux, M. A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Geometric and Functional Analysis 2, 221–224 (1992). https://doi.org/10.1007/BF01896974
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DOI: https://doi.org/10.1007/BF01896974