Metrics and tangent cones of uniformly regular Carnot—Carathéodory spaces |
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Authors: | A V Greshnov |
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Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia |
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Abstract: | Given a uniformly regular Carnot—Carathéodory space, we prove equivalence of the quasimetrics generated by various bases of vector fields which agree with filtration of the space. We prove a theorem on a nilpotent tangent cone for a uniformly regular Carnot—Carathéodory space furnished with quasimetrics. As a consequence, we obtain a theorem on isomorphism of nilpotent tangent cones defined at a common distinguished point. |
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Keywords: | Carnot— Carathéodory space nilpotent group |
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