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<p>We study torsion-critical manifolds in almost Hermitian geometry and give a variational theorem for the functional of the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41980_2025_1000_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>-norm of the torsion with respect to the Chern connection on a compact almost Hermitian manifold. We show some application of the variational theorem for the functional on compact Kähler-like, and G-Kähler-like almost Hermitian manifolds.</p>

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On Torsion-Critical Manifolds in Almost Hermitian Geometry

  • 期刊论文

  • 发表日期：

    2025年9月16日

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  • Masaya Kawamura

摘要

We study torsion-critical manifolds in almost Hermitian geometry and give a variational theorem for the functional of the \(L^2\) L 2 -norm of the torsion with respect to the Chern connection on a compact almost Hermitian manifold. We show some application of the variational theorem for the functional on compact Kähler-like, and G-Kähler-like almost Hermitian manifolds.