Geodesic
Local monotonicity of Hausdorff measures restricted to real analytic curves
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 1, pp. 37-56.

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We prove that the 1-dimensional Hausdorff measure restricted to a simple real analytic curve $\gamma: \mathbb R \to \mathbb R^N$, $N \ge 2$, is locally 1-monotone.
Classification : 28A75, 49Q15, 53A10
Keywords: monotone measure; monotonicity formula 
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     title = {Local monotonicity of {Hausdorff} measures restricted to real analytic curves},
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Černý, Robert. Local monotonicity of Hausdorff measures restricted to real analytic curves. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 1, pp. 37-56. http://geodesic.mathdoc.fr/item/CMUC_2010__51_1_a4/