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arXiv · 2412.01288

Volume gap between the minimal submanifold and the unit sphere

Weiran Ding·Jianquan Ge·Fagui Li
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Abstract

In this paper, following the method of Cheng-Li-Yau, we first modify the coefficients in the constant $B_n$ to improve the volume gap. Further, we also enlarge our gap by applying an estimate of Cheng-Yang for eigenvalues of Laplacian.

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Weiran Ding, Jianquan Ge, Fagui Li. 2024-12-02. Volume gap between the minimal submanifold and the unit sphere. https://doi.org/10.1142/s0129167x25500296

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