Intrinsic rectifiability via flat cones in the Heisenberg group
Abstract
We give a geometric criterion for a topological surface in the first Heisenberg group to be an intrinsic Lipschitz graph, using planar cones instead of the usual open cones.
Main Authors
Format
Articles
Research article
Published
2022
Series
Subjects
Publication in research information system
Publisher
Scuola Normale Superiore - Edizioni della Normale
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202302231876Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0391-173X
DOI
https://doi.org/10.2422/2036-2145.202005_012
Language
English
Published in
Annali della Scuola Normale Superiore di Pisa: Classe di Scienze
Citation
- Julia, A., & Nicolussi Golo, S. (2022). Intrinsic rectifiability via flat cones in the Heisenberg group. Annali della Scuola Normale Superiore di Pisa: Classe di Scienze, 23(2), 829-835. https://doi.org/10.2422/2036-2145.202005_012
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Additional information about funding
Both A.J. and S.N.G. have been supported by University of Padova STARS Project “Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New”; and by the INdAM– GNAMPA Project 2019 “Rectifiability in Carnot groups”.
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