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.
A Result about C3-Rectifiability of Lipschitz Curves: an Application in Geometric Measure Theory / Delladio, Silvano. - ELETTRONICO. - (2005), pp. 1-23.
A Result about C3-Rectifiability of Lipschitz Curves: an Application in Geometric Measure Theory
Delladio, Silvano
2005-01-01
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.File in questo prodotto:
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