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...

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Bibliographic Details
Main Authors: De Ponti, N, Mondino, A
Format: Journal article
Language:English
Published: Springer Verlag 2020