Horizontal Joinability on 5-Dimensional 2-Step Carnot Groups with a Codimension 2 Horizontal Distribution

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Horizontal Joinability on 5-Dimensional 2-Step Carnot Groups with a Codimension 2 Horizontal Distribution. / Zhukov, R. I.; Greshnov, A. V.

в: Algebra and Logic, Том 62, № 2, 3, 05.2023, стр. 137-147.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{7fb5eb9a4c414fc297253f780efde043,

title = "Horizontal Joinability on 5-Dimensional 2-Step Carnot Groups with a Codimension 2 Horizontal Distribution",

abstract = "For a 5-dimensional 2-step Carnot group G3,2 with a codimension 2 horizontal distribution, we prove that any two points u, v ∈ G3,2 can be joined on it by a horizontal broken line consisting of at most three segments. A multi-dimensional generalization of this result is given.",

keywords = "Carnot group, codimension horizontal distribution, horizontal broken line",

author = "Zhukov, {R. I.} and Greshnov, {A. V.}",

note = "Supported by Mathematical Center in Akademgorodok, Agreement with RF Ministry of Education and Science No. 075-15-2022-282. (R. I. Zhukov and A. V. Greshnov)",

year = "2023",

month = may,

doi = "10.1007/s10469-024-09732-7",

language = "English",

volume = "62",

pages = "137--147",

journal = "Algebra and Logic",

issn = "0002-5232",

publisher = "Springer US",

number = "2",

}

RIS

TY - JOUR

T1 - Horizontal Joinability on 5-Dimensional 2-Step Carnot Groups with a Codimension 2 Horizontal Distribution

AU - Zhukov, R. I.

AU - Greshnov, A. V.

N1 - Supported by Mathematical Center in Akademgorodok, Agreement with RF Ministry of Education and Science No. 075-15-2022-282. (R. I. Zhukov and A. V. Greshnov)

PY - 2023/5

Y1 - 2023/5

N2 - For a 5-dimensional 2-step Carnot group G3,2 with a codimension 2 horizontal distribution, we prove that any two points u, v ∈ G3,2 can be joined on it by a horizontal broken line consisting of at most three segments. A multi-dimensional generalization of this result is given.

AB - For a 5-dimensional 2-step Carnot group G3,2 with a codimension 2 horizontal distribution, we prove that any two points u, v ∈ G3,2 can be joined on it by a horizontal broken line consisting of at most three segments. A multi-dimensional generalization of this result is given.

KW - Carnot group

KW - codimension horizontal distribution

KW - horizontal broken line

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85185133025&origin=inward&txGid=10b5f4c9da08a853bbcfe844775a52bc

UR - https://www.mendeley.com/catalogue/49309a0f-628f-3b89-b911-a6fda77af891/

U2 - 10.1007/s10469-024-09732-7

DO - 10.1007/s10469-024-09732-7

M3 - Article

VL - 62

SP - 137

EP - 147

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 2

M1 - 3

ER -

ID: 59731084