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<p>In this paper, we study the rigidity of <i>k</i>(≥ 1)-extremal submanifolds in a sphere and prove various pinching theorems under different curvature conditions, including sectional and Ricci curvatures in pointwise and integral sense.</p>

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Rigidity of k-extremal Submanifolds in a Sphere

  • 期刊论文

  • 发表日期：

    2025年7月15日

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  • Hang Chen,
  • Yaru Wang

摘要

In this paper, we study the rigidity of k(≥ 1)-extremal submanifolds in a sphere and prove various pinching theorems under different curvature conditions, including sectional and Ricci curvatures in pointwise and integral sense.