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<p>We establish a new lower bound for the first non-zero Steklov eigenvalue of a compact Riemannian manifold with non-negative Ricci curvature and (strictly) convex boundary. Related results are also obtained under weaker geometric hypotheses.</p>

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The First Steklov Eigenvalue on Manifolds with Non-negative Ricci Curvature and Convex Boundary

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月12日

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  • Jonah A. J. Duncan,
  • Aditya Kumar

摘要

We establish a new lower bound for the first non-zero Steklov eigenvalue of a compact Riemannian manifold with non-negative Ricci curvature and (strictly) convex boundary. Related results are also obtained under weaker geometric hypotheses.