Metric Properties of Graphs on Carnot–Carathéodory Spaces with Sub-Lorentzian Structure

M. B. Karmanova

doi:10.1134/S1064562420010159

Metric Properties of Graphs on Carnot–Carathéodory Spaces with Sub-Lorentzian Structure

M. B. Karmanova

Региональный научно-образовательный математический центр НГУ

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

Аннотация

The notion of a sub-Lorentzian structure with multidimensional time on Carnot–Carathéodory spaces is introduced. It is proved that classes of graph surfaces are spacelike, and a sub-Lorentzian analogue of the area formula is proved.

Язык оригинала	английский
Страницы (с-по)	36-39
Число страниц	4
Журнал	Doklady Mathematics
Том	101
Номер выпуска	1
DOI	https://doi.org/10.1134/S1064562420010159
Состояние	Опубликовано - 1 янв 2020

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

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10.1134/S1064562420010159

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abstract = "The notion of a sub-Lorentzian structure with multidimensional time on Carnot–Carath{\'e}odory spaces is introduced. It is proved that classes of graph surfaces are spacelike, and a sub-Lorentzian analogue of the area formula is proved.",

keywords = "area formula, Carnot–Carath{\'e}odory space, intrinsic sub-Lorentzian measure, polynomial hc-differential, AREA, HOLDER SURFACES, DIFFERENTIABILITY, Carnot-Caratheodory space, MAPPINGS, GEOMETRY",

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