About coincidence points theorems on 2-step Carnot groups with 1-dimensional centre equipped with Box-quasimetrics

About coincidence points theorems on 2-step Carnot groups with 1-dimensional centre equipped with Box-quasimetrics

For some class of 2-step Carnot groups $ D_n $ with 1-dimensional centre we find the exact values of the constants in $ (1, q_2) $-generalized triangle inequality for their $ \text{Box} $-quasimetrics $ \rho_{\text{Box}_{D_n}} $. Using this result we get the best version of the Coincidence Points Th...

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Bibliographic Details
Main Authors: Alexander Greshnov, Vladimir Potapov
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
(q<sub>1</sub>，qsub>2</sub>)-quasimetric spase
carnot group
exact value
box-quasimetric
coincidence points
estimates of divergence
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023313?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023313?viewType=HTML

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