The Agrachev–Barilari–Boscain Method and Estimates for the Number of Segments of Horizontal Broken Lines Joining Points in the Canonical Carnot Group G3,3

The Agrachev–Barilari–Boscain Method and Estimates for the Number of Segments of Horizontal Broken Lines Joining Points in the Canonical Carnot Group G3,3 Full article

Journal

Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 , E-ISSN: 1531-8605

Output data

Year: 2023, Volume: 321, Number: 1, Pages: 97-106 Pages count : 10 DOI: 10.1134/s0081543823020074

Authors

Greshnov A.V. ¹

Affiliations

1	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Funding (1)

Министерство науки и высшего образования РФ
Mathematical Center in Akademgorodok

075-15-2019-1613, 075-15-2022-281

Using a generalization of the Agrachev–Barilari–Boscain method for proving the Rashevskii–Chow theorem, we estimate the minimum number NG3,3 of segments of horizontal broken lines joining two arbitrary points on the six-dimensional two-step canonical Carnot group G3,3 with corank 3 horizontal distribution. We prove that NG3,3 =3.

Greshnov A.V.
The Agrachev–Barilari–Boscain Method and Estimates for the Number of Segments of Horizontal Broken Lines Joining Points in the Canonical Carnot Group G3,3
Proceedings of the Steklov Institute of Mathematics. 2023. V.321. N1. P.97-106. DOI: 10.1134/s0081543823020074 WOS Scopus РИНЦ OpenAlex

Грешнов А.В.
Метод Аграчева–Барилари–Боскайна и оценки числа звеньев горизонтальных ломаных, соединяющих точки в канонической группе Карно G3,3
Труды Математического института имени В.А. Стеклова. 2023. Т.321. С.108–117. DOI: 10.4213/tm4320 РИНЦ OpenAlex

Submitted:	Apr 21, 2022
Accepted:	Jan 9, 2023
Published print:	Sep 14, 2023
Published online:	Sep 14, 2023

Web of science:	WOS:001094606600007
Scopus:	2-s2.0-85171174782
Elibrary:	64547125
OpenAlex:	W4386702474

DB	Citing
OpenAlex	2
Scopus	3
Web of science	3
Elibrary	1