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<p>In this paper we show the energy identity and the no-neck property for <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\varepsilon \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ε</mi> </math></EquationSource> </InlineEquation>- and <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-harmonic maps with homogeneous target manifolds. To prove this in the <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\varepsilon \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ε</mi> </math></EquationSource> </InlineEquation>-harmonic case we introduce the idea of using an equivariant embedding of the homogeneous target manifold.</p>

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Energy identity and no neck property for \(\varepsilon \)-harmonic and \(\alpha \)-harmonic maps into homogeneous target manifolds

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月12日

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  • Carolin Bayer,
  • Andrew M. Roberts

摘要

In this paper we show the energy identity and the no-neck property for \(\varepsilon \) ε - and \(\alpha \) α -harmonic maps with homogeneous target manifolds. To prove this in the \(\varepsilon \) ε -harmonic case we introduce the idea of using an equivariant embedding of the homogeneous target manifold.