Local geometry of Carnot manifolds under minimal smoothness
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Publication:2518815
DOI10.1134/S1064562407020172zbMath1175.53046OpenAlexW2076601259MaRDI QIDQ2518815
M. B. Karmanova, Sergei Vodop'yanov
Publication date: 19 January 2009
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562407020172
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)
Related Items (11)
A local approximation theorem on Carnot manifolds under minimal smoothness conditions ⋮ The tangent cone to a quasimetric space with dilations ⋮ A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces ⋮ A characterization of sub-Riemannian spaces as length dilation structures constructed via coherent projections ⋮ A coarea formula for smooth contact mappings of Carnot manifolds ⋮ Inverse and implicit function theorems on Carnot manifolds ⋮ Characteristic sets for smooth contact mappings of Carnot-Carathéodory spaces ⋮ Tangent cone to a regular quasimetric Carnot-Carathéodory space ⋮ An area formula for contact C 1-mappings of Carnot manifolds ⋮ An area formula for \(C^{1}\)-smooth contact mappings of Carnot manifolds ⋮ Sub-Riemannian geometry for vector fields of minimal smoothness
Cites Work
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- Balls and metrics defined by vector fields. I: Basic properties
- Some remarks on the definition of tangent cones in a Carnot-Carathéodory space
- Uniform estimation of sub-Riemannian balls
- The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
- Differentiability of curves in the category of Carnot manifolds
- Nonholonomic tangent spaces: intrinsic construction and rigid dimensions
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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