A local approximation theorem on Carnot manifolds under minimal smoothness conditions
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Publication:845171
DOI10.1134/S1064562409040346zbMath1188.53029MaRDI QIDQ845171
M. V. Karmanova, Sergei Vodop'yanov
Publication date: 5 February 2010
Published in: Doklady Mathematics (Search for Journal in Brave)
Related Items (8)
A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces ⋮ Metric geometry of nonregular weighted 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 ⋮ Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal smoothness assumptions ⋮ The local approximation theorem in various coordinate systems ⋮ The Beltrami equations for quasiconformal mappings on strongly pseudoconvex hypersurfaces ⋮ Local geometry of nonregular weighted quasimetric Carnot-Carathéodory spaces
Cites Work
- Tangent cone to a regular quasimetric Carnot-Carathéodory space
- An area formula for \(C^{1}\)-smooth contact mappings of Carnot manifolds
- Balls and metrics defined by vector fields. I: Basic properties
- Hypoelliptic differential operators and nilpotent groups
- Uniform estimation of sub-Riemannian balls
- Local geometry of Carnot manifolds under minimal smoothness
- Hypoelliptic second order differential equations
- Regularity of quasi-linear equations in the Heisenberg group
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations
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