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

Egor Surkov

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arXiv · 2409.16419

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

Egor Surkov

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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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Egor Surkov. 2024-09-24. Lower bound for the first eigenvalue of a minimally embedded hypersurface in a Riemannian manifold. https://arxiv.org/abs/2409.16419

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