Geodesic
Proof of Gromov's theorem on homogeneous nilpotent approximation for vector fields of class~$C^1$
Matematičeskie trudy, Tome 15 (2012) no. 2, pp. 72-88.

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The article is devoted to the asymptotic properties of the vector fields $\widetilde X^g_i$, $i=1,\dots,N$, $\theta_g$-connected with $C^1$-smooth basis vector fields $\{X_i\}_{i=1,\dots,N}$ satisfying condition $(+\deg)$. We prove a theorem of Gromov on the homogeneous nilpotent approximation for vector fields of class $C^1$. Nontrivial examples are constructed of quasimetrics induced by vector fields $\{X_i\}_{i=1,\dots,N}$. 
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A. V. Greshnov. Proof of Gromov's theorem on homogeneous nilpotent approximation for vector fields of class~$C^1$. Matematičeskie trudy, Tome 15 (2012) no. 2, pp. 72-88. http://geodesic.mathdoc.fr/item/MT_2012_15_2_a3/

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