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math.DG2025
Homogeneous hypersurfaces of the four-dimensional Thurston geometry
Marie D'haene, Guoxin Wei, Zeke Yao +1
In this paper, we classify hypersurfaces with constant principal curvatures in the four-dimensional Thurston geometry under certain geometric conditions. As an appl…
math.DG2025
Embedded constant mean curvature hypertori in the -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…