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arXiv · 2508.03352

A Note on Zoll Manifolds with Entire Grauert Tubes

Kyobeom Song
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Abstract

We compute several algebraic indices of the algebraization of the tangent bundle of a Zoll manifold that admits an entire Grauert tube. As an application, we prove that any Zoll manifold of type $\mathbb{HP}^2$ with an entire Grauert tube is isometric to the canonical $\mathbb{HP}^2$.

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Kyobeom Song. 2025-08-05. A Note on Zoll Manifolds with Entire Grauert Tubes. https://arxiv.org/abs/2508.03352

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