Local approximation of uniformly regular Carnot-Carathéodory quasispaces by their tangent cones

• Autores: A. V. Greshnov
• Localización: Siberian mathematical journal, ISSN 0037-4466, Vol. 48, Nº. 2, 2007, págs. 229-248
• Idioma: inglés
• DOI: 10.1007/s11202-007-0024-2
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• Resumen

  • We prove a local approximation theorem for the Carnot-Carathéodory quasimetrics on uniformly regular (equiregular) Carnot-Carathéodory spaces. Using this theorem, we study convergence of the Carnot-Carathéodory quasispaces to their tangent cones. In particular, we prove a Mitchell type theorem on convergence of an equiregular Carnot-Carathéodory quasispace with distinguished point to its tangent cone.