Parabolic rectifiability, tangent planes and tangent measures

Pertti Mattila

doi:10.54330/AFM.119821

Parabolic rectifiability, tangent planes and tangent measures

Pertti Mattila

Department of Mathematics and Statistics

Research output: Contribution to journal › Article › Scientific › peer-review

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.

Original language	English
Journal	Annales Fennici Mathematici
Volume	47
Issue number	2
Pages (from-to)	855-884
Number of pages	30
ISSN	2737-0690
DOIs	https://doi.org/10.54330/AFM.119821
Publication status	Published - 3 Jun 2022
MoE publication type	A1 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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10.54330/AFM.119821Licence: CC BY-NC

119821-Article Text-249393-1-10-20220929Final published version, 398 KBLicence: CC BY-NC

Cite this

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KW - C1 graph

KW - Hausdorff measure.

KW - Lipschitz graph

KW - Parabolic space

KW - Rectifiable set

KW - Tangent measure

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Parabolic rectifiability, tangent planes and tangent measures

Abstract

Bibliographical note

Fields of Science

Access to Document

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