Guoxin Wei

collaborators

3 papers

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.DG2025

Embedded constant mean curvature hypertori in the $2 n$ -sphere

Junqi Lai, Guoxin Wei

Brendle proved Lawson conjecture about minimal embedded torus in the round three-dimensional sphere. Carlotto and Schulz constructed a minimal embedded three-dimensional hypertorus…

math.DG2024

The rigidity theorem for complete Lagrangian self-shrinkers

Zhi Li, Ruixin Wang, Guoxin Wei

In this paper, we obtain a rigidity result of $2$ -dimensional complete lagrangian self-shrinkers with constant squared norm $∣ H ∣^{2}$ of the mean curvature vector in the Eucl…

Homogeneous hypersurfaces of the four-dimensional Thurston geometry Sol04​

Embedded constant mean curvature hypertori in the 2n-sphere

The rigidity theorem for complete Lagrangian self-shrinkers

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

Embedded constant mean curvature hypertori in the $2 n$ -sphere