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<p>We classify primitive minimal immersions of constant curvature from the two-sphere <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(S^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>S</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation> into the low-dimensional flag manifolds <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(F_{2,1,1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>F</mi> <mrow> <mn>2</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>1</mn> </mrow> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(F_{2,2,1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>F</mi> <mrow> <mn>2</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> </mrow> </msub> </math></EquationSource> </InlineEquation>.</p>

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Classification of primitive immmersions of constant curvature into flag manifolds

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月17日

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  • Rui Pacheco,
  • Mehmood Ur Rehman

摘要

We classify primitive minimal immersions of constant curvature from the two-sphere \(S^2\) S 2 into the low-dimensional flag manifolds \(F_{2,1,1}\) F 2 , 1 , 1 and \(F_{2,2,1}\) F 2 , 2 , 1 .