The local approximation theorem in various coordinate systems

S. G. Basalaev<sup>ab

a</sup> Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: We find some sufficient conditions on the local coordinate system of a Carnot–Carathéodory space of low smoothness that ensure Gromov-type estimates on the divergence of local (quasi)metrics. We also obtain these estimates for the canonical coordinate system of the second kind and various mixed coordinate systems.

Keywords: Carnot–Carathéodory space, local nilpotent approximation.

UDC: 514.763.22+514.753.28

Received: 04.04.2018

DOI: 10.17377/smzh.2018.59.504

 English version: Siberian Mathematical Journal, 2018, 59:5, 778–785

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