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Abstract <p> For Heisenberg groups and some of their generalizations, we obtain a geometric descriptionof the domain of admissible parameters <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12002_2025_5115_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="TEX">\(q_1\)</EquationSource> </InlineEquation> and<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12002_2025_5115_Article_IEq2.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="TEX">\(q_2\)</EquationSource> </InlineEquation> of a Box-quasimetric regarded as a symmetric<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12002_2025_5115_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">\((q_1,q_2)\)</EquationSource> </InlineEquation>-quasimetric. </p>

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

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • A. V. Greshnov,
  • S. A. Greshnova

摘要

Abstract

For Heisenberg groups and some of their generalizations, we obtain a geometric descriptionof the domain of admissible parameters \(q_1\) and \(q_2\) of a Box-quasimetric regarded as a symmetric \((q_1,q_2)\) -quasimetric.