The local geometry of Carnot manifolds at singular points

DOI10.3103/S1066369X11080135zbMath1235.53037OpenAlexW1982881149MaRDI QIDQ647901

Svetlana V. Selivanova

Publication date: 21 November 2011

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

Full work available at URL: https://doi.org/10.3103/s1066369x11080135

zbMATH Keywords

tangent coneCarnot groupCarnot manifoldminimal smoothnessRashevskii-Chow theorem

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (1)

Local geometry of nonregular weighted quasimetric Carnot-Carathéodory spaces

Cites Work

• The tangent cone to a quasimetric space with dilations
• Tangent cone to a regular quasimetric Carnot-Carathéodory space
• On Carnot-Caratheodory metrics
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Hypoelliptic differential operators and nilpotent groups
• Uniform estimation of sub-Riemannian balls
• Singular and maximal Radon transforms: Analysis and geometry
• Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
• Nilpotent and High-Order Approximations of Vector Field Systems
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