Zeke Yao

activity

20192026

collaborators

Showing math.DGShow all

4 papers · 1 filter

math.DG2026

Homogeneous hypersurfaces of the four-dimensional Thurston geometries $Sol_{1}^{4}$ , $Sol_{m, n}^{4}$ and $Nil^{4}$

Xiaoge Lu, Zeke Yao, Xi Zhang

In this paper, we focus on the four-dimensional Thurston geometries whose isometry groups are four-dimensional, namely $Sol_{1}^{4}$ , $Sol_{m, n}^{4}$ and $\mathrm{Nil}^…

math.DG2025

Homogeneous hypersurfaces of the four-dimensional Thurston geometry $So l_{0}^{4}$

Marie D'haene, Guoxin Wei, Zeke Yao +1

In this paper, we classify hypersurfaces with constant principal curvatures in the four-dimensional Thurston geometry $So l_{0}^{4}$ under certain geometric conditions. As an appl…

math.DG2019

Hypersurfaces of the homogeneous nearly Kähler $S^{6}$ and $S^{3} \times S^{3}$ with anticommutative structure tensors

Zejun Hu, Zeke Yao, Xi Zhang

Each hypersurface of a nearly Kähler manifold is naturally equipped with two tensor fields of $(1, 1)$ -type, namely the shape operator $A$ and the induced almost contact structure $…

math.DG2019

On Hopf hypersurfaces of the homogeneous nearly Kähler $S^{3} \times S^{3}$

Zejun Hu, Zeke Yao

In this paper, extending our previous joint work (Hu et al., Math Nachr 291:343--373, 2018), we initiate the study of Hopf hypersurfaces in the homogeneous NK (nearly Kähler) manif…

Homogeneous hypersurfaces of the four-dimensional Thurston geometries Sol14​, Solm,n4​ and Nil4

Homogeneous hypersurfaces of the four-dimensional Thurston geometry Sol04​

Hypersurfaces of the homogeneous nearly Kähler S6 and S3×S3 with anticommutative structure tensors

On Hopf hypersurfaces of the homogeneous nearly Kähler S3×S3

Homogeneous hypersurfaces of the four-dimensional Thurston geometries $Sol_{1}^{4}$ , $Sol_{m, n}^{4}$ and $Nil^{4}$

Homogeneous hypersurfaces of the four-dimensional Thurston geometry $So l_{0}^{4}$

Hypersurfaces of the homogeneous nearly Kähler $S^{6}$ and $S^{3} \times S^{3}$ with anticommutative structure tensors

On Hopf hypersurfaces of the homogeneous nearly Kähler $S^{3} \times S^{3}$