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Minimal Legendrian surfaces in the tangent sphere bundle of ℝ3

  • 期刊论文

  • 发表日期：

    2024年6月12日

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  • Mingyan Li,
  • Guofang Wang

摘要

In this paper, we study minimal Legendrian surfaces Σ immersed in the tangent sphere bundle T1ℝ3. We classify (1) totally geodesic Legendrian surfaces, (2) closed minimal Legendrian surfaces of genus smaller than or equal to 1 and complete minimal Legendrian surfaces with the non-negative Gauss curvature, and (3) complete stable minimal Legendrian surfaces.