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 (Unpublished)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