Parabolic rectifiability, tangent planes and tangent measures

2021/03/30 by Pertti Mattila, Mattila, Pertti · 1 citation
Mathematics · #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2103.16401

openalex publication_date 2021/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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