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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     author = {\v{C}ern\'y, Robert},
     title = {Local monotonicity of {Hausdorff} measures restricted to curves in $\Bbb R^n$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     year = {2009},
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     zbl = {1212.53006},
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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/