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arXiv · 2406.18290

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

Jonah A. J. Duncan·Aditya Kumar
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Abstract

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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Jonah A. J. Duncan, Aditya Kumar. 2024-06-26. The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary. https://arxiv.org/abs/2406.18290

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