Geodesic
Local monotonicity of Hausdorff measures restricted to curves in $\Bbb R^n$
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 89-101.

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We give a sufficient condition for a curve $\gamma: \Bbb R \to \Bbb R^n$ to ensure that the $1$-dimensional Hausdorff measure restricted to $\gamma$ is locally monotone.
Classification : 28A75, 49Q15, 53A10
Keywords: monotone measure; monotonicity formula 
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Černý, Robert. Local monotonicity of Hausdorff measures restricted to curves in $\Bbb R^n$. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 89-101. http://geodesic.mathdoc.fr/item/CMUC_2009__50_1_a7/