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Two-step sub-Lorentzian structures and graph surfaces. / Karmanova, Maria B.

In: Izvestiya Mathematics, Vol. 84, No. 1, 01.01.2020, p. 52-94.

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

Harvard

Karmanova, MB 2020, 'Two-step sub-Lorentzian structures and graph surfaces', Izvestiya Mathematics, vol. 84, no. 1, pp. 52-94. https://doi.org/10.1070/IM8879

APA

Karmanova, M. B. (2020). Two-step sub-Lorentzian structures and graph surfaces. Izvestiya Mathematics, 84(1), 52-94. https://doi.org/10.1070/IM8879

Vancouver

Karmanova MB. Two-step sub-Lorentzian structures and graph surfaces. Izvestiya Mathematics. 2020 Jan 1;84(1):52-94. doi: 10.1070/IM8879

Author

Karmanova, Maria B. / Two-step sub-Lorentzian structures and graph surfaces. In: Izvestiya Mathematics. 2020 ; Vol. 84, No. 1. pp. 52-94.

BibTeX

@article{8d92f8975af743bebec5389d082e446a,
title = "Two-step sub-Lorentzian structures and graph surfaces",
abstract = "We establish an area formula for graph mappings on two-step sub-Lorentzian structures with an arbitrary number of spatial and temporal directions. In a particular case, we consider an alternative approach that requires no additional smoothness of the mapping from which the graph is constructed.",
keywords = "Area formula, Intrinsic basis, Intrinsic measure, Lipschitz mapping, Multi-dimensional sub-Lorentzian structure, area formula, intrinsic measure, SPACES, AFFINE CONTROL-SYSTEMS, REACHABLE SETS, intrinsic basis, multi-dimensional sub-Lorentzian structure, GEOMETRY",
author = "Karmanova, {Maria B.}",
year = "2020",
month = jan,
day = "1",
doi = "10.1070/IM8879",
language = "English",
volume = "84",
pages = "52--94",
journal = "Izvestiya Mathematics",
issn = "1064-5632",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Two-step sub-Lorentzian structures and graph surfaces

AU - Karmanova, Maria B.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - We establish an area formula for graph mappings on two-step sub-Lorentzian structures with an arbitrary number of spatial and temporal directions. In a particular case, we consider an alternative approach that requires no additional smoothness of the mapping from which the graph is constructed.

AB - We establish an area formula for graph mappings on two-step sub-Lorentzian structures with an arbitrary number of spatial and temporal directions. In a particular case, we consider an alternative approach that requires no additional smoothness of the mapping from which the graph is constructed.

KW - Area formula

KW - Intrinsic basis

KW - Intrinsic measure

KW - Lipschitz mapping

KW - Multi-dimensional sub-Lorentzian structure

KW - area formula

KW - intrinsic measure

KW - SPACES

KW - AFFINE CONTROL-SYSTEMS

KW - REACHABLE SETS

KW - intrinsic basis

KW - multi-dimensional sub-Lorentzian structure

KW - GEOMETRY

UR - http://www.scopus.com/inward/record.url?scp=85085088401&partnerID=8YFLogxK

U2 - 10.1070/IM8879

DO - 10.1070/IM8879

M3 - Article

AN - SCOPUS:85085088401

VL - 84

SP - 52

EP - 94

JO - Izvestiya Mathematics

JF - Izvestiya Mathematics

SN - 1064-5632

IS - 1

ER -

ID: 24398097