Volume gap between the minimal submanifold and the unit sphere
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909700469030912 |
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| author | Ding, Weiran Ge, Jianquan Li, Fagui |
| author_facet | Ding, Weiran Ge, Jianquan Li, Fagui |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01288 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Volume gap between the minimal submanifold and the unit sphere Ding, Weiran Ge, Jianquan Li, Fagui Differential Geometry 53C42, 53C24 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. |
| title | Volume gap between the minimal submanifold and the unit sphere |
| topic | Differential Geometry 53C42, 53C24 |
| url | https://arxiv.org/abs/2412.01288 |