Parabolic rectifiability, tangent planes and tangent measures

Authors

  • Pertti Mattila University of Helsinki, Department of Mathematics and Statistics

Keywords:

Parabolic space, rectifiable set, C^1 graph, Lipschitz graph, tangent measure, Hausdorff measure

Abstract

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.

Section
Articles

Published

2022-06-03

How to Cite

Mattila, P. (2022). Parabolic rectifiability, tangent planes and tangent measures. Annales Fennici Mathematici, 47(2), 855–884. https://doi.org/10.54330/afm.119821