Semianalyticity of isoperimetric profiles

DOI10.1016/j.difgeo.2008.10.022zbMath1166.53308arXiv1207.5620OpenAlexW2964222178WikidataQ115357356 ScholiaQ115357356MaRDI QIDQ1023412

Renata Grimaldi, Stefano Nardulli, Pierre Pansu

Publication date: 11 June 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5620

zbMATH Keywords

Morse theoryisoperimetric inequalityRiemann surfacecalibration

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Real-analytic and semi-analytic sets (14P15) Global Riemannian geometry, including pinching (53C20) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (3)

Regularity of isoperimetric regions that are close to a smooth manifold ⋮ A note on the convex body isoperimetric conjecture in the plane ⋮ Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Foliation by constant mean curvature spheres
• The isoperimetric profile of a smooth Riemannian manifold for small volumes
• Semianalytic and subanalytic sets
• Subanalytic sets in the calculus of variation
• Sur la régularité du profil isopérimétrique des surfaces riemanniennes compactes. (The regularity of the isoperimetric profile of Riemann surfaces)
• Regularity of isoperimetric regions that are close to a smooth manifold
• The normalized mean curvature flow for a small bubble in a Riemannian manifold.
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints

This page was built for publication: Semianalyticity of isoperimetric profiles