6. Issue # 4

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

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: 28.10.2024

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.

UDK 517+515.126.4

The domains of admissible parameters of Box-quasimetrics of canonical Heisenberg groups and their generalizations
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Keywords: $(q_1,q_2)$-quasimetric, Box-quasimetric, canonical Carnot group, admissible parameters.

References: Greshnov Alexandr Valeryevich, Greshnova Sofya Alexandrovna The domains of admissible parameters of Box-quasimetrics of canonical Heisenberg groups and their generalizations. Mat. Trudy. 2024, 27, № 4. P. 42–56. DOI: 10.25205/1560-750X-2024-27-4-42-56