Volume comparison in the presence of a Gromov-Hausdorff \(\varepsilon\)-approximation. I

DOI10.1007/S00209-012-1054-4zbMath1270.53071OpenAlexW1975851526MaRDI QIDQ1955689

Luca Sabatini

Publication date: 18 June 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-1054-4

zbMATH Keywords

volume comparisonbarycenter mapbounds for JacobiansGromov-Hausdorff approximations

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of local Riemannian geometry (53B21)

Related Items (3)

Volume comparison without curvature-assumption ⋮ A spectra comparison theorem and its applications ⋮ Volume comparison in the presence of a Gromov-Hausdorff \(varepsilon\)-approximation. II

Cites Work

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• Rigidité topologique sous l'hypothèse \flqq entropie majorée\frqq\ et applications
• A generalized sphere theorem
• Ricci curvature and volume convergence
• The real Schwarz Lemma and geometric applications
• Conformally natural extension of homeomorphisms of the circle
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature

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