The Local Approximation Theorem in Various Coordinate Systems

S. G. Basalaev

doi:10.1134/S003744661805004X

The Local Approximation Theorem in Various Coordinate Systems

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	778-785
Число страниц	8
Журнал	Siberian Mathematical Journal
Том	59
Номер выпуска	5
DOI	https://doi.org/10.1134/S003744661805004X
Состояние	Опубликовано - 1 сен 2018

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10.1134/S003744661805004X

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title = "The Local Approximation Theorem in Various Coordinate Systems",

abstract = "We find some sufficient conditions on the local coordinate system of a Carnot–Carath{\'e}odory 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–Carath{\'e}odory space, local nilpotent approximation, DIFFERENTIABILITY, SPACES, Carnot-Caratheodory space",

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year = "2018",

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AU - Basalaev, S. G.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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.

AB - 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.

KW - Carnot–Carathéodory space

KW - local nilpotent approximation

KW - DIFFERENTIABILITY

KW - SPACES

KW - Carnot-Caratheodory space

UR - http://www.scopus.com/inward/record.url?scp=85057467833&partnerID=8YFLogxK

U2 - 10.1134/S003744661805004X

DO - 10.1134/S003744661805004X

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EP - 785

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

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The Local Approximation Theorem in Various Coordinate Systems

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