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

Regional Mathematical Center

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	36-39
Number of pages	4
Journal	Doklady Mathematics
Volume	101
Issue number	1
DOIs	https://doi.org/10.1134/S1064562420010159
Publication status	Published - 1 Jan 2020

Keywords

area formula
Carnot–Carathéodory space
intrinsic sub-Lorentzian measure
polynomial hc-differential
AREA
HOLDER SURFACES
DIFFERENTIABILITY
Carnot-Caratheodory space
MAPPINGS
GEOMETRY

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10.1134/S1064562420010159

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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",

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year = "2020",

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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.

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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

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