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Zoll Manifolds of Type $\mathbb{CP}^n$ with Entire Grauert Tubes

Differential Geometry 2025-01-28 v1 Complex Variables

Abstract

We show that a Zoll manifold of type CPn\mathbb{CP}^n with an entire Grauert tube is isometric to CPn\mathbb{CP}^n with the canonical Fubini-Study metric, up to constant multiplication.

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Cite

@article{arxiv.2501.15682,
  title  = {Zoll Manifolds of Type $\mathbb{CP}^n$ with Entire Grauert Tubes},
  author = {Chi Li and Kyobeom Song},
  journal= {arXiv preprint arXiv:2501.15682},
  year   = {2025}
}

Comments

15 pages, comments very welcome