Zoll Manifolds of Type $\mathbb{CP}^n$ with Entire Grauert Tubes
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909466625048576 |
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| author | Li, Chi Song, Kyobeom |
| author_facet | Li, Chi Song, Kyobeom |
| contents | We show that a Zoll manifold of type $\mathbb{CP}^n$ with an entire Grauert tube is isometric to $\mathbb{CP}^n$ with the canonical Fubini-Study metric, up to constant multiplication. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15682 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Zoll Manifolds of Type $\mathbb{CP}^n$ with Entire Grauert Tubes Li, Chi Song, Kyobeom Differential Geometry Complex Variables 53C22, 32W20, 32Q15 We show that a Zoll manifold of type $\mathbb{CP}^n$ with an entire Grauert tube is isometric to $\mathbb{CP}^n$ with the canonical Fubini-Study metric, up to constant multiplication. |
| title | Zoll Manifolds of Type $\mathbb{CP}^n$ with Entire Grauert Tubes |
| topic | Differential Geometry Complex Variables 53C22, 32W20, 32Q15 |
| url | https://arxiv.org/abs/2501.15682 |