Year: 2024
Type: article
Abstract: We describe the shortest polygonal chains that connect two points on the first Heisenberg group with the sub-Riemannian structure. The shortest polygonal chain connecting two points with a fixed number of links either is a straight line or consists of segments of the same length such that the projections of their endpoints are inscribed in a circle. The analytical description is obtained for the spheres of the quasimetric generated by the shortest polygonal chains with 3 links.
Source: Russian Mathematics
Author: S. G. Basalaev
Institution: Novosibirsk State University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4405016981