Some remarks on the definition of tangent cones in a Carnot-Carathéodory space
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Publication:1580491
DOI10.1007/BF02791539zbMath0971.58004MaRDI QIDQ1580491
Gregory A. Margulis, G. Daniel Mostow
Publication date: 28 October 2001
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Foliations in differential topology; geometric theory (57R30) Vector distributions (subbundles of the tangent bundles) (58A30)
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Cites Work
- Unnamed Item
- On Carnot-Caratheodory metrics
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Hypoelliptic differential operators and nilpotent groups
- The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
- Hypoelliptic second order differential equations
- Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
- Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques
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