Sharp Cheeger–Buser type inequalities in RCD(K,∞) spaces
The goal of the paper is to sharpen and generalise bounds involving Cheeger’s isoperimetric constant h and the first eigenvalue λ1 of the Laplacian. A celebrated lower bound of λ1 in terms of h, λ1≥h2/4, was proved by Cheeger in 1970 for smooth Riemannian manifolds. An upper bound on λ1 in terms of...
Main Authors: | De Ponti, N, Mondino, A |
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Format: | Journal article |
Language: | English |
Published: |
Springer Verlag
2020
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