Zeke Yao

collaborators

4 papers

math.DG2025

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

Haizhong Li, Hiroshi Tamaru, Zeke Yao

In this paper, we study the Hopf hypersurfaces of the complex hyperbolic quadric $Q^{m *} = S O_{2, m}^{o} / (S O_{2} \times S O_{m})$ ( $m \geq 3$ ) with constant principal curvatures. We classify th…

math.DG2025

On Hopf hypersurfaces of the complex quadric with constant principal curvatures

Haizhong Li, Hiroshi Tamaru, Zeke Yao

In this paper, we classify the Hopf hypersurfaces of the complex quadric $Q^{m} = S O_{m + 2} / (S O_{2} S O_{m})$ ( $m \geq 3$ ) with at most five distinct constant principal curvatures. We also clas…

math.DG2023

Isoparametric Hypersurfaces in product spaces of space forms

Dong Gao, Hui Ma, Zeke Yao

We give a complete classification of isoparametric hypersurfaces in a product space $M_{κ_{1}}^{2} \times M_{κ_{2}}^{2}$ of $2$ -dimensional space forms for $κ_{i} \in {- 1, 0, 1}$ with $κ_1\neq…

math.DG2023

Hypersurfaces of $S^{2} \times S^{2}$ with constant sectional curvature

Haizhong Li, Luc Vrancken, Xianfeng Wang +1

In this paper, we classify the hypersurfaces of $S^{2} \times S^{2}$ with constant sectional curvature. By applying the so-called Tsinghua principle, which was first di…

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

On Hopf hypersurfaces of the complex quadric with constant principal curvatures

Isoparametric Hypersurfaces in product spaces of space forms

Hypersurfaces of S2×S2 with constant sectional curvature

Hypersurfaces of $S^{2} \times S^{2}$ with constant sectional curvature