Metric inequalities with scalar curvature

DOI10.1007/s00039-018-0453-zzbMath1396.53068arXiv1710.04655OpenAlexW2962844229MaRDI QIDQ724265

Mikhael Gromov

Publication date: 25 July 2018

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04655

zbMATH Keywords

twisted Dirac operators\(2\pi/n\)-inequality for over-torical bands\(4\pi/n\)-inequality for SYS-bands\(8\pi/n\)-inequality for SYSE-bandsiso-enlargeable bandsnormal radius inequality for \(\mathbb{T}^{n-1}\subset S^n\)over-torical bandover-torical widthpositive scalar (sectional) curvaturequadratic decay theoremspherical Lipschitz bound theoremsymetrizations of Riemannian manifoldstorical \(2\pi/n\)-inequalitywidth of band

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) 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) Algebraic topology of manifolds (57N65)

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