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<p>By replacing the torus with an elementary abelian two-group, we generalize Grove and Searle’s maximal symmetry result and Wilking’s half-maximal symmetry result for positively curved manifolds with an isometric torus action.</p>

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Positive curvature and discrete abelian symmetry

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月16日

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  • Lee Kennard,
  • Elahe Khalili Samani,
  • Catherine Searle

摘要

By replacing the torus with an elementary abelian two-group, we generalize Grove and Searle’s maximal symmetry result and Wilking’s half-maximal symmetry result for positively curved manifolds with an isometric torus action.