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The Domains of Admissible Parameters of Box-quasimetrics for Canonical Heisenberg Groups and their Generalizations. / Greshnov, A. V.; Greshnova, S. A.

In: Siberian Advances in Mathematics, Vol. 35, No. 1, 04.07.2025, p. 7-14.

Research output: Contribution to journal › Article › peer-review

Harvard

Greshnov, AV & Greshnova, SA 2025, 'The Domains of Admissible Parameters of Box-quasimetrics for Canonical Heisenberg Groups and their Generalizations', Siberian Advances in Mathematics, vol. 35, no. 1, pp. 7-14. https://doi.org/10.1134/S105513442501002X

APA

Greshnov, A. V., & Greshnova, S. A. (2025). The Domains of Admissible Parameters of Box-quasimetrics for Canonical Heisenberg Groups and their Generalizations. Siberian Advances in Mathematics, 35(1), 7-14. https://doi.org/10.1134/S105513442501002X

Vancouver

Greshnov AV, Greshnova SA. The Domains of Admissible Parameters of Box-quasimetrics for Canonical Heisenberg Groups and their Generalizations. Siberian Advances in Mathematics. 2025 Jul 4;35(1):7-14. doi: 10.1134/S105513442501002X

Author

Greshnov, A. V. ; Greshnova, S. A. / The Domains of Admissible Parameters of Box-quasimetrics for Canonical Heisenberg Groups and their Generalizations. In: Siberian Advances in Mathematics. 2025 ; Vol. 35, No. 1. pp. 7-14.

BibTeX

@article{1ab6e7c69e304306ac669d7c88e58e30,
title = "The Domains of Admissible Parameters of Box-quasimetrics for Canonical Heisenberg Groups and their Generalizations",
abstract = "Abstract: For Heisenberg groups and some of their generalizations, we obtain a geometric descriptionof the domain of admissible parameters and of a Box-quasimetric regarded as a symmetric-quasimetric.",
keywords = "-Quasimetric, Box-quasimetric, admissible parameter, canonical Carnot group",
author = "Greshnov, {A. V.} and Greshnova, {S. A.}",
note = "The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0006). ",
year = "2025",
month = jul,
day = "4",
doi = "10.1134/S105513442501002X",
language = "English",
volume = "35",
pages = "7--14",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - The Domains of Admissible Parameters of Box-quasimetrics for Canonical Heisenberg Groups and their Generalizations

AU - Greshnov, A. V.

AU - Greshnova, S. A.

N1 - The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0006).

PY - 2025/7/4

Y1 - 2025/7/4

N2 - Abstract: For Heisenberg groups and some of their generalizations, we obtain a geometric descriptionof the domain of admissible parameters and of a Box-quasimetric regarded as a symmetric-quasimetric.

AB - Abstract: For Heisenberg groups and some of their generalizations, we obtain a geometric descriptionof the domain of admissible parameters and of a Box-quasimetric regarded as a symmetric-quasimetric.

KW - -Quasimetric

KW - Box-quasimetric

KW - admissible parameter

KW - canonical Carnot group

UR - https://www.mendeley.com/catalogue/feac96f0-8468-3a51-9a0e-12b774a3ab23/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105009992136&origin=inward

U2 - 10.1134/S105513442501002X

DO - 10.1134/S105513442501002X

M3 - Article

VL - 35

SP - 7

EP - 14

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 1

ER -

ID: 68467809