The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary
Differential Geometry
2024-06-27 v1 Analysis of PDEs
Spectral Theory
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.
Cite
@article{arxiv.2406.18290,
title = {The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary},
author = {Jonah A. J. Duncan and Aditya Kumar},
journal= {arXiv preprint arXiv:2406.18290},
year = {2024}
}