The Local Approximation Theorem in Various Coordinate Systems


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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.

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S. Basalaev

Sobolev Institute of Mathematics

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Email: sbasalaev@gmail.com
俄罗斯联邦, Novosibirsk

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