Sub-Riemannian geometry for vector fields of minimal smoothness

DOI10.1134/S1064562408050256zbMath1184.53035OpenAlexW1978772946WikidataQ115247508 ScholiaQ115247508MaRDI QIDQ1048507

M. B. Karmanova, Sergei Vodop'yanov

Publication date: 12 January 2010

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

Full work available at URL: https://doi.org/10.1134/s1064562408050256

zbMATH Keywords

sub-Riemannian geometryminimalGromov's theorem

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (8)

The tangent cone to a quasimetric space with dilations ⋮ On one class of Lipschitz vector fields in \(\mathbb R^{3}\) ⋮ Application of nilpotent approximation and the orbit method to the search of the diagonal asymptotics of sub-Riemannian heat kernels ⋮ Fundamental solutions and local solvability for nonsmooth Hörmander’s operators ⋮ Convergence of scaled vector fields and local approximation theorem on Carnot-Carathéodory spaces and applications ⋮ Inverse and implicit function theorems on Carnot manifolds ⋮ An area formula for Lipschitz mappings of Carnot-Carathéodory spaces ⋮ Local Solvability of Nonsmooth Hörmander’s Operators

Cites Work

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• Uniform estimation of sub-Riemannian balls
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• Sub-Riemannian geometry. Proceedings of the satellite meeting of the first European congress of mathematics `Journées nonholonomes: géométrie sous-riemannienne, théorie du contrôle, robotique', Paris, France, June 30--July 1, 1992
• Differentiability of curves in the category of Carnot manifolds
• Local geometry of Carnot manifolds under minimal smoothness
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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