Isoperimetric stability

DOI10.1007/BF01445253zbMath0865.53027OpenAlexW4252623686MaRDI QIDQ1817308

Gilles Carron

Publication date: 10 July 1997

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

Full work available at URL: https://eudml.org/doc/165456

zbMATH Keywords

Riemannian manifoldisoperimetric inequalitycomplex hyperbolic spacegeodesic ballsBonnessen inequalitygeometrically stable domain

Mathematics Subject Classification ID

Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

On the boundary of almost isoperimetric domains ⋮ Euclidean volume growth for complete Riemannian manifolds

Cites Work

• Unnamed Item
• Bonnesen's inequality for the isoperimetric deficiency of closed curves in the plane
• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• An inequality of ``Reilly-type for submanifolds of the hyperbolic space
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• A strong form of the isoperimetric inequality in Rⁿ
• Elastic waves in rods and clad rods
• Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
• Riemannian geometry

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