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Abstract <p> We consider the problem on embedding an additive and a multiplicative dimetricphenomenologically symmetric geometries of rank <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12002_2025_5125_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="37" /> </InlineMediaObject> <EquationSource Format="TEX">\((2,2)\)</EquationSource> </InlineEquation> into a dimetric phenomenologically symmetricgeometry of rank <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12002_2025_5125_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="37" /> </InlineMediaObject> <EquationSource Format="TEX">\((3,2)\)</EquationSource> </InlineEquation>. We describe nondegenerate solutions of twosystems of functional equations that arise in our study. We reduce them to systems of differentialequations. Combining their solutions with the initial systems of functional equations, we findadditional restrictions.</p>

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Solution of Two Systems of Functional Equations

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • V. A. Kyrov

摘要

Abstract

We consider the problem on embedding an additive and a multiplicative dimetricphenomenologically symmetric geometries of rank \((2,2)\) into a dimetric phenomenologically symmetricgeometry of rank \((3,2)\) . We describe nondegenerate solutions of twosystems of functional equations that arise in our study. We reduce them to systems of differentialequations. Combining their solutions with the initial systems of functional equations, we findadditional restrictions.