On finding the exact values of the constant in a \((1,q_2)\)-generalized triangle inequality for box-quasimetrics on 2-step Carnot groups with 1-dimensional center

DOI10.33048/semi.2021.18.095zbMath1487.43008OpenAlexW4205864395MaRDI QIDQ2058332

Aleksandr Valer'evich Greshnov

Publication date: 8 December 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.095

zbMATH Keywords

exact valueCarnot groupbox quasimetric\((q_1, q_2)\)-quasimetric spase

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80)

Cites Work

• Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups
• Theory of \((q_1,q_2)\)-quasimetric spaces and coincidence points
• Coincidence points of multivalued mappings in \((q_1,q_2)\)-quasimetric spaces
• Some problems of regularity of \(f\)-quasimetrics
• Topological and geometrical properties of spaces with symmetric and nonsymmetric \(f\)-quasimetrics
• Regularization of distance functions and separation axioms on \((q_1,q_2)\)-quasimetric spaces
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• $ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points
• (q1, q2)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics
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