Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

DOI10.1016/J.CRMA.2009.01.003zbMath1163.53022arXiv1207.5616OpenAlexW2017306308WikidataQ115358272 ScholiaQ115358272MaRDI QIDQ1009535

Pierre Pansu, Stefano Nardulli, Renata Grimaldi

Publication date: 2 April 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5616

zbMATH Keywords

isoperimetric profiletopological spherereal analytic Riemannian manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Foliation by constant mean curvature spheres
• Semianalyticity of isoperimetric profiles
• The isoperimetric profile of a noncompact Riemannian manifold for small volumes
• Calibrations and isoperimetric profiles
• Sharp local isoperimetric inequalities involving the scalar curvature

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