The tangent cone to a quasimetric space with dilations

DOI10.1007/s11202-010-0032-5zbMath1202.53047OpenAlexW2003144491MaRDI QIDQ606029

Svetlana V. Selivanova

Publication date: 15 November 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0032-5

zbMATH Keywords

dilationGromov-Hausdorff convergenceCarnot-Carathéodory spacemetric tangent conequasimetric space

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Discriminating potentials of measures on certain quasi-normed spaces, Some problems of regularity of \(f\)-quasimetrics, Privileged coordinates for Carnot-Carathéodory spaces of lower smoothness, (q1, q2)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics, 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, Local geometry of nonregular weighted quasimetric Carnot-Carathéodory spaces

Cites Work

• Geodesic manifolds with a transitive subset of smooth biLipschitz maps
• On Carnot-Caratheodory metrics
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Dilatation structures. I: Fundamentals
• A coarea formula for smooth contact 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
• Algebraic properties of the tangent cone to a quasimetric space with dilations
• 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
• Differentiability of Lipschitz functions on metric measure spaces
• Some remarks on the definition of tangent cones in a Carnot-Carathéodory space
• The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
• Local geometry of Carnot manifolds under minimal smoothness
• Hypoelliptic second order differential equations
• Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
• An area formula for contact C ¹-mappings of Carnot manifolds
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Dilatation structures in sub-riemannian geometry
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item