Measures of transverse paths in sub-Riemannian geometry

DOI10.1007/BF02788789zbMath1073.53046WikidataQ115391605 ScholiaQ115391605MaRDI QIDQ1880932

Frédéric Jean, Elisha Falbel

Publication date: 27 September 2004

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

distributiontangent coneregular pointsub-Riemannian manifoldChow's conditionfiltration of the tangent conehorizontal pathinfinitesimal measure on the tangent conetransverse path

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Sub-Riemannian geometry (53C17)

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Cites Work

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• On Carnot-Caratheodory metrics
• Some remarks on the definition of tangent cones in a Carnot-Carathéodory space
• Hamilton-Jacobi theory and the heat kernel on Heisenberg groups
• Uniform estimation of sub-Riemannian balls
• The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
• Nilpotent and High-Order Approximations of Vector Field Systems
• Sub-Riemannian sphere in Martinet flat case
• Entropy and complexity of a path in sub-Riemannian geometry

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