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<p>We prove an optimal <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(L^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation> extension theorem of Ohsawa-Takegoshi type on complete Kähler manifolds, where the submanifold is not necessarily a single point. This generalizes previous results of Chen-Wu-Wang and Wang.</p>

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An optimal \(L^2\) extension theorem on complete Kähler manifolds

  • 期刊论文

  • 发表日期：

    2026年1月20日

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  • Wang Xu

摘要

We prove an optimal \(L^2\) L 2 extension theorem of Ohsawa-Takegoshi type on complete Kähler manifolds, where the submanifold is not necessarily a single point. This generalizes previous results of Chen-Wu-Wang and Wang.