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Abstract <p> In this paper, it is proved that if a compact trans-Sasakian <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3097_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="10" /> </InlineMediaObject> <EquationSource Format="TEX">\(3\)</EquationSource> </InlineEquation>-manifold <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3097_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="TEX">\(M^3\)</EquationSource> </InlineEquation> is weakly Einstein and satisfies a reasonable inequality, then <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3097_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="TEX">\(M^3\)</EquationSource> </InlineEquation> is homothetic to either a Sasakian manifold or a cosymplectic manifold. </p>

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Weakly Einstein Trans-Sasakian \(3\)-Manifolds

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • W. Wang

摘要

Abstract

In this paper, it is proved that if a compact trans-Sasakian \(3\) -manifold \(M^3\) is weakly Einstein and satisfies a reasonable inequality, then \(M^3\) is homothetic to either a Sasakian manifold or a cosymplectic manifold.