Parabolic rectifiability, tangent planes and tangent measures

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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.

Original languageEnglish
JournalAnnales Fennici Mathematici
Issue number2
Pages (from-to)855-884
Number of pages30
Publication statusPublished - 3 Jun 2022
MoE publication typeA1 Journal article-refereed

Bibliographical note

Publisher Copyright:
© 2022. The Finnish Mathematical Society

Fields of Science

  • 111 Mathematics
  • C1 graph
  • Hausdorff measure.
  • Lipschitz graph
  • Parabolic space
  • Rectifiable set
  • Tangent measure

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