Sharp reverse isoperimetric inequalities in nonpositively curved cones

DOI10.1007/s12220-021-00658-5zbMath1476.53064arXiv2103.04661OpenAlexW3139043159WikidataQ128213449 ScholiaQ128213449MaRDI QIDQ1979246

Stéphane Sabourau, Mikhail G. Katz

Publication date: 2 September 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04661

zbMATH Keywords

area comparisonnonpositive curvaturegeometric inequalitiesEuclidean conereverse isoperimetric inequalities

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Bi-Lipschitz-equivalent Aleksandrov surfaces, II
• Systolically extremal nonpositively curved surfaces are flat with finitely many singularities
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