Tangent cone to a regular quasimetric Carnot-Carathéodory space

DOI10.1134/S1064562409020318zbMath1180.53034MaRDI QIDQ735848

Svetlana V. Selivanova

Publication date: 26 October 2009

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

zbMATH Keywords

Gromov-Hausdorff distancesub-Riemannian geometrytangent coneregular pointsequence of metric spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Sub-Riemannian geometry (53C17)

Related Items (6)

A local approximation theorem on Carnot manifolds under minimal smoothness conditions ⋮ An example of a Carnot manifold with \(C^{1}\)-smooth basis vector fields ⋮ The local geometry of Carnot manifolds at singular points ⋮ Metric geometry of nonregular weighted Carnot-Carathéodory spaces ⋮ A new approach to investigation of Carnot-Carathéodory geometry ⋮ Algebraic properties of the tangent cone to a quasimetric space with dilations

Cites Work

• Unnamed Item
• On Carnot-Caratheodory metrics
• An area formula for \(C^{1}\)-smooth contact mappings of Carnot manifolds
• Balls and metrics defined by vector fields. I: Basic properties
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Hypoelliptic differential operators and nilpotent groups
• Some remarks on the definition of tangent cones in a Carnot-Carathéodory space
• Local geometry of Carnot manifolds under minimal smoothness

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