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<p>We establish the extrinsic Bonnet–Myers Theorem for compact Riemannian manifolds with positive Ricci curvature. And we show the almost rigidity for compact hypersurfaces, which have positive sectional curvature and almost maximal extrinsic diameter in Euclidean space.</p>

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Extrinsic Bonnet–Myers Theorem and almost rigidity

  • 期刊论文

  • 发表日期：

    2025年5月23日

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  • Weiying Li,
  • Guoyi Xu

摘要

We establish the extrinsic Bonnet–Myers Theorem for compact Riemannian manifolds with positive Ricci curvature. And we show the almost rigidity for compact hypersurfaces, which have positive sectional curvature and almost maximal extrinsic diameter in Euclidean space.