Horizontal joinability on 5-dimensional 2-step Carnot groups with a codimension 2 horizontal distribution Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2023, Volume: 62, Number: 2, Pages: 137-147 Pages count : 11 DOI: 10.1007/s10469-024-09732-7 | ||
| Tags | Carnot group, codimension horizontal distribution, horizontal broken line | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Mathematical Center in Akademgorodok | 075-15-2022-282 |
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.
Cite:
Zhukov R.I.
, Greshnov A.V.
Horizontal joinability on 5-dimensional 2-step Carnot groups with a codimension 2 horizontal distribution
Algebra and Logic. 2023. V.62. N2. P.137-147. DOI: 10.1007/s10469-024-09732-7 WOS Scopus РИНЦ OpenAlex
Horizontal joinability on 5-dimensional 2-step Carnot groups with a codimension 2 horizontal distribution
Algebra and Logic. 2023. V.62. N2. P.137-147. DOI: 10.1007/s10469-024-09732-7 WOS Scopus РИНЦ OpenAlex
Original:
Жуков Р.И.
, Грешнов А.В.
Горизонтальная соединимость на 5-мерной 2-ступенчатой группе Карно с горизонтальным распределением коразмерности 2
Алгебра и логика. 2023. Т.62. №2. С.205-218. DOI: 10.33048/alglog.2023.62.203 РИНЦ
Горизонтальная соединимость на 5-мерной 2-ступенчатой группе Карно с горизонтальным распределением коразмерности 2
Алгебра и логика. 2023. Т.62. №2. С.205-218. DOI: 10.33048/alglog.2023.62.203 РИНЦ
Dates:
| Submitted: | Sep 27, 2022 |
| Accepted: | Jan 31, 2024 |
| Published print: | Feb 15, 2024 |
| Published online: | Feb 15, 2024 |
Identifiers:
| Web of science: | WOS:001162597500002 |
| Scopus: | 2-s2.0-85185133025 |
| Elibrary: | 65573424 |
| OpenAlex: | W4391838579 |