JournalsrlmVol. 32, No. 3pp. 535–547

Optimal horizontal joinability on the Engel group

  • Alexander Greshnov

    Sobolev Institute of Mathematics, Novosibirsk, Russia
Optimal horizontal joinability on the Engel group cover
Download PDF

A subscription is required to access this article.

Abstract

On the Engel group we solve the problem of finding the minimal number of segments of integral lines of left-invariant basis horizontal vector fields necessary for joining an arbitrary pair of points. We prove the best version of Rashevskii–Chow Theorem on Engel group.

Cite this article

Alexander Greshnov, Optimal horizontal joinability on the Engel group. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32 (2021), no. 3, pp. 535–547

DOI 10.4171/RLM/947