An upper bound on the revised first Betti number and a torus stability result for \textsf{RCD} spaces

DOI10.4171/CMH/540zbMath1506.53052arXiv2104.06208WikidataQ125634630 ScholiaQ125634630MaRDI QIDQ2165720

Raquel Perales, Ilaria Mondello, Andrea Mondino

Publication date: 22 August 2022

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06208

zbMATH Keywords

metric measure spaceRCD spacescurvature-dimension

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

Maximal first Betti number rigidity of noncompact RCD(0,𝑁) spaces, A note on the topological stability theorem from RCD spaces to Riemannian manifolds, Moduli spaces of compact \(\mathrm{RCD}(0,N)\)-structures, On fundamental groups of RCD spaces, Torus stability under Kato bounds on the Ricci curvature

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