Une borne inférieure pour le volume d'une variété riemannienne en fonction du rayon d'injectivité

DOI10.5802/AIF.802zbMath0421.53028OpenAlexW2330955570MaRDI QIDQ1133172

Marcel Berger

Publication date: 1980

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1980__30_3_259_0

zbMATH Keywords

volumeRiemannian manifoldradius of injectivity

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (11)

A note on the isoperimetric constant ⋮ Isoperimetric inequalities, isometric actions and the higher Newman numbers ⋮ Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds ⋮ On the Volume of Metric Balls ⋮ The \(L^ 2\) structure of moduli spaces of Einstein metrics on 4- manifolds ⋮ Little topology, big volume ⋮ Growth of fundamental groups and isoembolic volume and diameter ⋮ On Gromov-Hausdorff stability in a boundary rigidity problem ⋮ Embolic aspects of black hole entropy ⋮ Homotopy Type Finiteness Theorems for Certain Precompact Families of Riemannian Manifolds ⋮ Lower bounds for the volume with upper bounds for the Ricci Curvature in dimension three

Cites Work

• Volume et rayon d'injectivite dans les variétés Riemanniennes de dimension 3
• Some isoperimetric inequalities and eigenvalue estimates
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