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Convexity and the average curvature of plane curves

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Publication:1366276
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DOI10.1023/A:1004912521664zbMath0887.53002OpenAlexW1517451946MaRDI QIDQ1366276

Jeffrey C. Lagarias, Thomas J. Richardson

Publication date: 25 May 1998

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004912521664


zbMATH Keywords

convexityplane curveaverage curvaturegeometric inequalitiestotal curvature


Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04)


Related Items (4)

Upper bounds for the perimeter of plane convex bodies ⋮ Proofs (not) from The Book ⋮ The DNA Inequality in non-convex regions ⋮ On Tabachnikov's conjecture







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