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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. Greshnov
a
,
S. A. Greshnova
b
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
Fulltext:
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References
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Steklov Math. Inst. of RAS
, 2025