Geodesic
Parabolic rectifiability, tangent planes and tangent measures
Pertti Mattila1
1University of Helsinki, Department of Mathematics and Statistics
Annales Fennici Mathematici, Tome 47 (2022) no. 2, pp. 855-884

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We define rectifiability in $\mathbb{R}^{n}\times\mathbb{R}$ with a parabolic metric in terms of $C^1$ graphs and Lipschitz graphs with small Lipschitz constants and we characterize it in terms of approximate tangent planes and tangent measures. We also discuss relations between the parabolic rectifiability and other notions of rectifiability.
DOI : 10.54330/afm.119821
Keywords: Parabolic space, rectifiable set, C^1 graph, Lipschitz graph, tangent measure, Hausdorff measure

Pertti Mattila  1

1 University of Helsinki, Department of Mathematics and Statistics 
Pertti Mattila. Parabolic rectifiability, tangent planes and tangent measures. Annales Fennici Mathematici, Tome 47 (2022) no. 2, pp. 855-884. doi: 10.54330/afm.119821
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