An isoperimetric deficit formula

DOI10.1007/s12220-020-00393-3zbMath1470.53047OpenAlexW3011153927MaRDI QIDQ2024670

Peter McGrath

Publication date: 4 May 2021

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

Full work available at URL: https://doi.org/10.1007/s12220-020-00393-3

zbMATH Keywords

isoperimetric inequalityisoperimetric deficitBonnesen

Mathematics Subject Classification ID

Rigidity results (53C24)

Related Items (2)

Symmetry and isoperimetry for Riemannian surfaces ⋮ \(\ell\)-convex Legendre curves and geometric inequalities

Cites Work

• Zwei kurze Beweise der isoperimetrischen Ungleichung
• Inégalité isopérimétrique et calibration. (Isoperimetric inequality and calibration)
• On the isoperimetric inequality on a minimal surface
• A quantitative isoperimetric inequality on the sphere
• The sharp quantitative isoperimetric inequality
• A strong form of the quantitative isoperimetric inequality
• A generalization of the isoperimetric inequality
• The Isoperimetric Theorem for Curves on Minimal Surfaces
• Bonnesen-Style Isoperimetric Inequalities

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