Zeke Yao

activity

20232026

collaborators

4 papers

math.DG2026

Classification of hypersurfaces with constant principal curvatures in $H^{m} \times H^{n}$

Haizhong Li, Renhao Tan, Zeke Yao

In this paper, we study the hypersurfaces in $H^{m} \times H^{n}$ ( $m \geq 3, n \geq 2$ ) with constant principal curvatures. Let $g$ be the number of distinct constant prin…

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

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…

Classification of hypersurfaces with constant principal curvatures in Hm×Hn

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

On Hopf hypersurfaces of the complex quadric with constant principal curvatures

Hypersurfaces of S2×S2 with constant sectional curvature

Classification of hypersurfaces with constant principal curvatures in $H^{m} \times H^{n}$

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