Cheeger constant

id: cheeger-constant-241-14611963
title: Cheeger constant
text: In Riemannian geometry, the Cheeger isoperimetric constant of a compact Riemannian manifold M is a positive real number h(M) defined in terms of the minimal area of a hypersurface that divides M into two disjoint pieces. In 1971, Jeff Cheeger proved an inequality that related the first nontrivial eigenvalue of the Laplace–Beltrami operator on M to h(M). In 1982, Peter Buser proved a reverse version of this inequality, and the two inequalities put together are sometimes called the Cheeger-Buser i
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original url: https://en.wikipedia.org/wiki/Cheeger_constant
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date modified: 2024-04-14T17:31:30Z
main entity: {"identifier":"Q5089259","url":"https://www.wikidata.org/entity/Q5089259"}
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