The Local Approximation Theorem in Various Coordinate Systems

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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.

Original languageEnglish
Pages (from-to)778-785
Number of pages8
JournalSiberian Mathematical Journal
Volume59
Issue number5
DOIs
Publication statusPublished - 1 Sep 2018

Keywords

  • Carnot–Carathéodory space
  • local nilpotent approximation
  • DIFFERENTIABILITY
  • SPACES
  • Carnot-Caratheodory space

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