The Isoperimetric Inequality for Curves with Self-Intersections

DOI10.4153/CMB-1981-026-8zbMath0466.52009MaRDI QIDQ3918677

Andrew Vogt

Publication date: 1981

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalitywinding numbersigned areaindex of a planar curve

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume, other geometric measure theory (28A75) Integration of real functions of several variables: length, area, volume (26B15) Length, area and volume in real or complex geometry (51M25) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (3)

Uniqueness of signature for simple curves ⋮ On Gauss-Green theorem and boundaries of a class of Hölder domains ⋮ The dynamics of elastic closed curves under uniform high pressure

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