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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2024 Volume 27, Number 4, Pages 42–56 (Mi mt720)

The domains of admissible parameters of Box-quasimetrics of canonical Heisenberg groups and their generalizations

A. V. Greshnova, S. A. Greshnovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: For Heisenberg groups and some of their generalizations, geometric descriptions of the domains of admissible parameters $q_1,q_2$ for their $\mathrm{Box}$-quasimetrics considered as symmetric $(q_1,q_2)$ quasimetrics are obtained.

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

UDC: 517+515.126.4

Received: 28.10.2024
Revised: 01.12.2024
Accepted: 05.12.2024

DOI: 10.25205/1560-750X-2024-27-4-42-56



© Steklov Math. Inst. of RAS, 2025