Convergence of scaled vector fields and local approximation theorem on Carnot-Carathéodory spaces and applications

DOI10.1134/S1064562411060366zbMath1241.53030MaRDI QIDQ653045

M. B. Karmanova

Publication date: 6 January 2012

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

zbMATH Keywords

Carnot manifoldHölder continuousnilpotentized fieldssub-Riemannian differentiability

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (3)

A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces ⋮ The Poincaré inequality for \(C^{1,\alpha}\)-smooth vector fields ⋮ Local geometry of nonregular weighted quasimetric Carnot-Carathéodory spaces

Cites Work

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• An area formula for contact C ¹-mappings of Carnot manifolds
• 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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