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arXiv · 2403.01138

First eigenvalue characterization of Clifford hypersurfaces and Veronese surface

PeiYi Wu
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Abstract

We give an estimate for the first eigenvalue of the Schr\"odinger operator $L:=-\Delta-\sigma$ which is defined on the closed minimal submanifold $M^{n}$ in the unit sphere $\mathbb{S}^{n+m}$, where $\sigma$ is the square norm of the second fundamental form.

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PeiYi Wu. 2024-03-02. First eigenvalue characterization of Clifford hypersurfaces and Veronese surface. https://arxiv.org/abs/2403.01138

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