Intrinsic rectifiability via flat cones in the Heisenberg group

DOI10.2422/2036-2145.202005_012OpenAlexW3146319850WikidataQ122270734 ScholiaQ122270734MaRDI QIDQ5090317

Antoine Julia, Sebastiano Nicolussi Golo

Publication date: 18 July 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09196

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)

Cites Work

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• Sets with finite \(\mathbb{H}\)-perimeter and controlled normal
• Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation
• Rank-one theorem and subgraphs of BV functions in Carnot groups
• Sets with constant normal in Carnot groups: properties and examples
• Boundedness of singular integrals on \(C^{1,{\alpha}}\) intrinsic graphs in the Heisenberg group
• Intrinsic Lipschitz graphs within Carnot groups
• Intrinsic Difference Quotients