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

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10.1134/S0037446620040084

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title = "The Area of Graphs on Arbitrary Carnot Groups with Sub-Lorentzian Structure",

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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year = "2020",

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N2 - 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.

AB - 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.

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KW - area formula

KW - Carnot group

KW - intrinsic basis

KW - intrinsic measure

KW - multidimensional sub-Lorentzian structure

KW - nilpotent graded group

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DO - 10.1134/S0037446620040084

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JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

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

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