An extension of Rabinowitz's polynomial representation for convex curves

DOI10.1007/s13366-020-00494-8zbMath1453.53005OpenAlexW3009568012MaRDI QIDQ784757

Zhongyun Zhang, Laiyuan Gao, Fei Zhou

Publication date: 3 August 2020

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-020-00494-8

zbMATH Keywords

resultantconstant widthpolynomial curve

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Curves in Euclidean and related spaces (53A04)

Related Items (2)

Two Chernoff-type inequalities and their stability properties ⋮ Chernoff type inequalities involving \(k\)-order width and their stability properties

Cites Work

• Evolving convex curves to constant-width ones by a perimeter-preserving flow
• On a non-local perimeter-preserving curve evolution problem for convex plane curves
• Evolving a convex closed curve to another one via a length-preserving linear flow
• Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
• Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves
• On Yau's problem of evolving one curve to another: convex case
• A polynomial curve of constant width
• Curves of Constant Width from a Linear Viewpoint
• Smooth curves of constant width
• Bodies of Constant Width
• Positive Centers and the Bonnesen Inequality

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