Zeke Yao

collaborators

3 papers

math.DG2026

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

Haizhong Li, Luc Vrancken, Xianfeng Wang +1

In this paper, we classify the hypersurfaces of $H^{2} \times H^{2}$ with constant sectional curvature. In contrast to $S^{2} \times S^{2}$ , the resulting e…

math.DG2026

Relative Liouville Rigidity for Lagrangian Self-Similar Submanifolds with Legendrian Boundary

Dong Gao, Hui Ma, Zeke Yao

We study compact Lagrangian self-similar immersions in the unit ball with Legendrian boundary. The Liouville form naturally defines a relative de Rham class, and we prove that the…

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…

Hypersurfaces of H2×H2 with constant sectional curvature

Relative Liouville Rigidity for Lagrangian Self-Similar Submanifolds with Legendrian Boundary

Isoparametric Hypersurfaces in product spaces of space forms

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