Geodesic
On applications of the Taylor formula in some quasispaces
Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 3-25

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We consider some metric spaces with quasimetric (quasispaces) comprising uniformly regular (equiregular) Carnot–Carathéodory quasispaces whose quasimetric is induced by $C^{\varUpsilon-1}$-smooth vector fields of formal degree not higher than $\varUpsilon$. 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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     author = {A. V. Greshnov},
     title = {On applications of the {Taylor} formula in some quasispaces},
     journal = {Matemati\v{c}eskie trudy},
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     number = {1},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2009_12_1_a0/}
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A. V. Greshnov. On applications of the Taylor formula in some quasispaces. Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 3-25. http://geodesic.mathdoc.fr/item/MT_2009_12_1_a0/