Geodesic
Local monotonicity of Hausdorff measures restricted to real analytic curves
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 1, pp. 37-56 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     author = {\v{C}ern\'y, Robert},
     title = {Local monotonicity of {Hausdorff} measures restricted to real analytic curves},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {37--56},
     year = {2010},
     volume = {51},
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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/