Lower bound for the first eigenvalue of a minimally embedded hypersurface in a Riemannian manifold

2024/09/24 by Surkov, Egor
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.16419

Abstract

We provide a lower bound for the first eigenvalue of the Laplace-Beltrami operator on a closed orientable hypersurface minimally embedded in an orientable compact Riemannian manifold with Ricci curvature bounded below by a positive constant.

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