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arXiv · 2504.17689

On Hopf hypersurfaces of the complex quadric with constant principal curvatures

Haizhong Li·Hiroshi Tamaru·Zeke Yao
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Abstract

In this paper, we classify the Hopf hypersurfaces of the complex quadric $Q^m=SO_{m+2}/(SO_2SO_m)$ ($m\geq3$) with at most five distinct constant principal curvatures. We also classify the Hopf hypersurfaces of $Q^m$ ($m=3,4,5$) with constant principal curvatures. All these real hypersurfaces are open parts of homogeneous examples.

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Haizhong Li, Hiroshi Tamaru, Zeke Yao. 2025-04-24. On Hopf hypersurfaces of the complex quadric with constant principal curvatures. https://arxiv.org/abs/2504.17689

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