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A result about \(C^3\)-rectifiability of Lipschitz curves

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Publication:952941
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DOI10.2140/pjm.2007.230.257zbMath1155.49036OpenAlexW1977714522MaRDI QIDQ952941

Silvano Delladio

Publication date: 14 November 2008

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://pjm.math.berkeley.edu/pjm/2007/230-2/p01.xhtml

zbMATH Keywords

Whitney extension theoremgeometric measure theoryrectifiable sets


Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Extension of maps (54C20) Curves in Euclidean and related spaces (53A04) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Hausdorff and packing measures (28A78)


Related Items

A class of one-dimensional geometric variational problem with energy involving the curvature and its derivatives: a geometric measure-theoretic approach, A sufficient condition for the \(C^H\)-rectifiability of Lipschitz curves, A note on Alberti's Luzin-type theorem for gradients



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