A Result about C3-Rectifiability of Lipschitz Curves: an Application in Geometric Measure Theory

Delladio, Silvano (2005) A Result about C3-Rectifiability of Lipschitz Curves: an Application in Geometric Measure Theory. UNSPECIFIED. (Unpublished)

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    Abstract

    Let γ0 : [a, b] -> R1+k be Lipschitz. Our main result provides a sufficient condition, expressed in terms of further accessory Lipschitz maps, for the C3-rectifiability of γ0([a, b]). Such a condition finds a natural interpretation in the context of Gauss maps of curves and in fact an application to one-dimensional generalized Gauss graphs is given.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: UNSPECIFIED
    Uncontrolled Keywords: Rectifiable sets, Geometric measure theory, Whitney extension theorem
    Additional Information: Mathematics Subject Classification. Primary 49Q15, 53A04; Secondary 26A12, 26A16, 28A75, 28A78, 54C20.
    Report Number: UTM 684, June 2005
    Repository staff approval on: 25 Jul 2005

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