Calculus of Variations and Geometric Measure Theory

S. Delladio

A sufficient condition for the $C^H$-rectifiability of Lipschitz curves

created by delladio on 25 Jul 2006
modified on 15 Sep 2007


Accepted Paper

Inserted: 25 jul 2006
Last Updated: 15 sep 2007

Journal: J. Geom. Anal.
Year: 2006


Let $g$ be a $*R*^{1+k}$-valued Lipschitz map defined in $[a,b]$ and let $H$ be an integer number greater or equal to $2$. Then a sufficient condition, expressed in terms of further accessory Lipschitz maps, for the $C^H$-rectifiability of $g([a,b])$ is provided.

Keywords: Rectifiable sets, Geometric measure theory, Whitney extension theorem