On the First Eigenvalue of Embedded Minimal Hypersurfaces in the Unit Sphere

Jinhong Yu

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arXiv · 2606.10962

On the First Eigenvalue of Embedded Minimal Hypersurfaces in the Unit Sphere

Jinhong Yu

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Abstract

Let $Σ$ be a closed embedded minimal hypersurface in $\mathbb{S}^{n+1}$. We establish an improved lower bound for the first non-zero eigenvalue of the induced Laplace-Beltrami operator on $Σ$. It is slightly better than the bound of Duncan-Sire-Spruck.

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BibTeX RIS

Jinhong Yu. 2026-06-10. On the First Eigenvalue of Embedded Minimal Hypersurfaces in the Unit Sphere. https://arxiv.org/abs/2606.10962

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