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

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

Доступ к документу

10.1134/S1064562420010159

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Metric Properties of Graphs on Carnot–Carathéodory Spaces with Sub-Lorentzian Structure». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

Karmanova, M. B. (2020). Metric Properties of Graphs on Carnot–Carathéodory Spaces with Sub-Lorentzian Structure. Doklady Mathematics, 101(1), 36-39. https://doi.org/10.1134/S1064562420010159

@article{2541437531d7438e9991c25aded5a1bb,

title = "Metric Properties of Graphs on Carnot–Carath{\'e}odory Spaces with Sub-Lorentzian Structure",

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",

author = "Karmanova, {M. B.}",

year = "2020",

month = jan,

day = "1",

doi = "10.1134/S1064562420010159",

language = "English",

volume = "101",

pages = "36--39",

journal = "Doklady Mathematics",

issn = "1064-5624",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

TY - JOUR

T1 - Metric Properties of Graphs on Carnot–Carathéodory Spaces with Sub-Lorentzian Structure

AU - Karmanova, M. B.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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.

AB - 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.

KW - area formula

KW - Carnot–Carathéodory space

KW - intrinsic sub-Lorentzian measure

KW - polynomial hc-differential

KW - AREA

KW - HOLDER SURFACES

KW - DIFFERENTIABILITY

KW - Carnot-Caratheodory space

KW - MAPPINGS

KW - GEOMETRY

UR - http://www.scopus.com/inward/record.url?scp=85084966742&partnerID=8YFLogxK

U2 - 10.1134/S1064562420010159

DO - 10.1134/S1064562420010159

M3 - Article

AN - SCOPUS:85084966742

VL - 101

SP - 36

EP - 39

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 1

ER -