On applications of the Taylor formula in some quasispaces |
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Authors: | A. V. Greshnov |
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Affiliation: | 1.Sobolev Institute of Mathematics,Novosibirsk,Russia |
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Abstract: | We consider some metric spaces with quasimetric (quasispaces) comprising uniformly regular (equiregular) Carnot — Carathéodory quasispaces whose quasimetric is induced by C ϒ−1-smooth vector fields of formal degree not higher than ϒ. For these spaces, some analogues of the Campbell — Hausdorff formula are derived, which allows us to prove a theorem on a nilpotent tangent cone, a theorem on isomorphism of various nilpotent tangent cones defined at a common point, and a local approximation theorem. |
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