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<p>For three dimensional complete Riemannian manifolds with scalar curvature no less than one, we prove that Schoen–Yau diameter estimate for stable minimal surfaces in those manifolds is sharp.</p>

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The Sharp Diameter Bound of Stable Minimal Surfaces

  • 期刊论文

  • 发表日期：

    2025年5月21日

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  • Qixuan Hu,
  • Guoyi Xu,
  • Shuai Zhang

摘要

For three dimensional complete Riemannian manifolds with scalar curvature no less than one, we prove that Schoen–Yau diameter estimate for stable minimal surfaces in those manifolds is sharp.