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Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal smoothness assumptions

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Publication:471380
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DOI10.1134/S1064562414030181zbMath1308.53055OpenAlexW1973653339MaRDI QIDQ471380

M. B. Karmanova

Publication date: 14 November 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414030181


zbMATH Keywords

vector fieldsCarnot-Caratheodory spaceslocal homogeneous groups


Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)




Cites Work

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  • A local approximation theorem on Carnot manifolds under minimal smoothness conditions
  • Balls and metrics defined by vector fields. I: Basic properties
  • Control theory from the geometric viewpoint.
  • Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
  • Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
  • Stratified Lie Groups and Potential Theory for their Sub-Laplacians
  • Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
  • A new approach to investigation of Carnot-Carathéodory geometry
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