The Local Approximation Theorem in Various Coordinate Systems

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The Local Approximation Theorem in Various Coordinate Systems. / Basalaev, S. G.

в: Siberian Mathematical Journal, Том 59, № 5, 01.09.2018, стр. 778-785.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Basalaev, SG 2018, 'The Local Approximation Theorem in Various Coordinate Systems', Siberian Mathematical Journal, Том. 59, № 5, стр. 778-785. https://doi.org/10.1134/S003744661805004X

APA

Basalaev, S. G. (2018). The Local Approximation Theorem in Various Coordinate Systems. Siberian Mathematical Journal, 59(5), 778-785. https://doi.org/10.1134/S003744661805004X

Vancouver

Basalaev SG. The Local Approximation Theorem in Various Coordinate Systems. Siberian Mathematical Journal. 2018 сент. 1;59(5):778-785. doi: 10.1134/S003744661805004X

Author

Basalaev, S. G. / The Local Approximation Theorem in Various Coordinate Systems. в: Siberian Mathematical Journal. 2018 ; Том 59, № 5. стр. 778-785.

BibTeX

@article{5285f1fd88274c4bbf69f46e05990cab,

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",

author = "Basalaev, {S. G.}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = sep,

day = "1",

doi = "10.1134/S003744661805004X",

language = "English",

volume = "59",

pages = "778--785",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "5",

}

RIS

TY - JOUR

T1 - The Local Approximation Theorem in Various Coordinate Systems

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

M3 - Article

VL - 59

SP - 778

EP - 785

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 17670671