A new approach to investigation of Carnot-Carathéodory geometry

DOI10.1134/S1064562410050170zbMath1213.53046OpenAlexW1987155046MaRDI QIDQ5894165

M. B. Karmanova

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1134/s1064562410050170

zbMATH Keywords

Carnot-Carathéodory spaceCampbell-Hausdorff formulagraded nilpotent Lie algebra

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (3)

A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces ⋮ Convergence of scaled vector fields and local approximation theorem on Carnot-Carathéodory spaces and applications ⋮ Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal assumptions on smoothness

Cites Work

• Balls and metrics defined by vector fields. I: Basic properties
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Unnamed Item

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