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<p>We prove local solvability of the Poisson equation with definite right-hand side for closed <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="526_2024_2889_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(G_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>G</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>-structures.</p>

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Local solvability of the Poisson equation for closed \(G_2\)-structures

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月1日

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  • Timothy Buttsworth,
  • Artem Pulemotov

摘要

We prove local solvability of the Poisson equation with definite right-hand side for closed \(G_2\) G 2 -structures.