Parabolic rectifiability, tangent planes and tangent measures

Kirjoittajat

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

Avainsanat:

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

Abstrakti

We define rectifiability in Rn×R with a parabolic metric in terms of C1 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.

Osasto
Articles

Julkaistu

2022-06-03

Viittaaminen

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