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arXiv · 2510.12284

On Hopf hypersurfaces of the complex hyperbolic quadric with constant principal curvatures

Haizhong Li·Hiroshi Tamaru·Zeke Yao
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Abstract

In this paper, we study the Hopf hypersurfaces of the complex hyperbolic quadric $Q^{m*}=SO^o_{2,m}/(SO_2\times SO_m)$ ($m\geq3$) with constant principal curvatures. We classify the Hopf hypersurfaces of $Q^{m*}$ ($m\geq3$) with at most two distinct constant principal curvatures. For Hopf hypersurfaces with three or four distinct constant principal curvatures, we determine the values of the principal curvatures as well as their multiplicities.

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Haizhong Li, Hiroshi Tamaru, Zeke Yao. 2025-10-14. On Hopf hypersurfaces of the complex hyperbolic quadric with constant principal curvatures. https://arxiv.org/abs/2510.12284

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