2103.16401Mar 30, 202132 pages. Many changes to the original version of which the most important are the additions of (1) in Theorem 1.1, Sections 5 and 6, and Example 8.2. new version: 33 pages, Lemmas 2.3, 2.4 and Theorem 4.9 changed, plus several small changes
Parabolic rectifiability, tangent planes and tangent measures
Pertti Mattila
Abstract
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.