The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary

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.

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Hauptverfasser: Duncan, Jonah A. J, Kumar, Aditya
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2406.18290