The reverse isoperimetric inequality for convex plane curves through a length-preserving flow

DOI10.1007/s00013-020-01541-5zbMath1456.52012OpenAlexW3093967127MaRDI QIDQ2222872

Yunlong Yang, Wei-Ping Wu

Publication date: 27 January 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-020-01541-5

zbMATH Keywords

reverse isoperimetric inequalityconvex plane curveslength-preserving flow

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Higher-order geometric flows (53E40)

Cites Work

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• An inequality for the maximum curvature through a geometric flow
• Isoperimetric inequalities for special classes of curves
• A reverse isoperimetric inequality for convex plane curves
• On a non-local perimeter-preserving curve evolution problem for convex plane curves
• A note on the reverse isoperimetric inequality
• Curve shortening and the Banchoff-Pohl inequality in symmetric Minkowski geometries
• A reverse isoperimetric inequality for embedded starshaped plane curves
• Centro-Affine Invariants for Smooth Convex Bodies
• Centro–affine curvature flows on centrally symmetric convex curves
• A refined reverse isoperimetric inequality in the plane
• The isoperimetric inequality
• Convex Bodies The Brunn-MinkowskiTheory

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