The Local Approximation Theorem in Various Coordinate Systems
- Authors: Basalaev S.G.1
-
Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 5 (2018)
- Pages: 778-785
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172015
- DOI: https://doi.org/10.1134/S003744661805004X
- ID: 172015
Cite item
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.
About the authors
S. G. Basalaev
Sobolev Institute of Mathematics
Author for correspondence.
Email: sbasalaev@gmail.com
Russian Federation, Novosibirsk