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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2025 Volume 28, Number 2, Pages 50–61 (Mi mt734)

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

A. V. Greshnov, S. A. Greshnova

Novosibirsk state university, Novosibirsk, Russia

Abstract: 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.

Key words: $(q_1,q_2)$-quasimetric, Box-quasimetric, canonical Engel group, admissible parameters.

UDC: 517+515.126.4

Received: 04.03.2025
Revised: 02.04.2025
Accepted: 11.06.2025

DOI: 10.25205/1560-750X-2025-28-2-50-61



© Steklov Math. Inst. of RAS, 2026