The domains of admissible parameters of Box-quasimetric of canonical Engel group

Greshnov Aleksandr Valer'evich
1. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
greshnov@math.nsc.ru
Greshnova Sofia Aleksandrovna
1. Novosibirsk State University
s.greshnova@g.nsu.ru
The material was received by the Editorial Board: 04.03.2025

For Box-quasimetric of the canonical Engel group considered as symmetric (q_1,q_2) quasimetric, the description of the domain of its admissible parameters q_1,q_2 is obtained. The minimum value of the constant q in its (q,q)-generalized triangle inequality is found implicitly.

УДК 517+515.126.4


Keywords: (q_1,q_2)-quasimetric, Box-quasimetric, canonical Engel group, admissible parameters.


References: Alexander V. Greshnov, Sofiya A. Greshnova The domains of admissible parameters of Box-quasimetric of canonical Engel group. Mat. Trudy. 2025, 28, № 2. P. 50–61. DOI: 10.25205/1560-750X-2025-28-2-50-61