The Area of Graphs on Arbitrary Carnot Groups with Sub-Lorentzian Structure

M. B. Karmanova

doi:10.1134/S0037446620040084

The Area of Graphs on Arbitrary Carnot Groups with Sub-Lorentzian Structure

M. B. Karmanova

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

2 Цитирования (Scopus)

Аннотация

We prove the area formula for the classes of graph mappings on the Carnot groupsand nilpotent graded groups with sub-Lorentzian structure which are of arbitrary dimension and depth.The number of spacelike and timelike directions is arbitrary as well.

Язык оригинала	английский
Страницы (с-по)	648-670
Число страниц	23
Журнал	Siberian Mathematical Journal
Том	61
Номер выпуска	4
DOI	https://doi.org/10.1134/S0037446620040084
Состояние	Опубликовано - 1 июл 2020

Доступ к документу

10.1134/S0037446620040084

Link to publication in Scopus

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abstract = "We prove the area formula for the classes of graph mappings on the Carnot groupsand nilpotent graded groups with sub-Lorentzian structure which are of arbitrary dimension and depth.The number of spacelike and timelike directions is arbitrary as well.",

keywords = "517.518.1:514.747, area formula, Carnot group, intrinsic basis, intrinsic measure, multidimensional sub-Lorentzian structure, nilpotent graded group",

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KW - intrinsic basis

KW - intrinsic measure

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KW - nilpotent graded group

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