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Embedding snowflakes of Carnot groups into bounded dimensional Euclidean spaces with optimal distortion

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Publication:2688992
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DOI10.2140/apde.2022.15.1933OpenAlexW3016734631MaRDI QIDQ2688992

Seung-Yeon Ryoo

Publication date: 6 March 2023

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07441


zbMATH Keywords

Nash-Moser iterationCarnot groupsnowflake embedding


Mathematics Subject Classification ID

Geometric embeddings of metric spaces (30L05)




Cites Work

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  • A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries
  • Assouad's theorem with dimension independent of the snowflaking
  • Embedding the Heisenberg group into a bounded-dimensional Euclidean space with optimal distortion
  • Hypoelliptic second order differential equations
  • \(C^1\) isometric imbeddings
  • The singularities of a smooth \(n\)-manifold in \((2n-1)\)-space
  • A functional calculus for Rockland operators on nilpotent Lie groups
  • Plongements lipschitziens dans ${\bbfR}\sp n$
  • Fast Construction of Nets in Low-Dimensional Metrics and Their Applications
  • Bilipschitz embeddings of metric spaces into space forms


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