Sharp Cheeger-buser type inequalities in \(\mathsf{RCD}(K,\infty)\) spaces

DOI10.1007/s12220-020-00358-6zbMath1475.53040arXiv1902.03835OpenAlexW3103015615MaRDI QIDQ2659504

Nicolò De Ponti, Andrea Mondino

Publication date: 26 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03835

zbMATH Keywords

metric measure spacesCheeger inequalityBuser inequalityfirst eigenvalue Laplace operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances ⋮ Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments ⋮ The Cheeger cut and Cheeger problem in metric measure spaces ⋮ The Cheeger problem in abstract measure spaces ⋮ The equality case in Cheeger's and Buser's inequalities on \(\mathsf{RCD}\) spaces ⋮ Cheeger bounds on spin-two fields

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