3 papers
math.DG2026
Examples of compact embedded mean convex -hypersurfaces
Qing-Ming Cheng, Junqi Lai, Guoxin Wei
There is a well-known conjecture asserts that the round sphere should be the only compact embedded self-shrinker (i.e. -hypersurface) which is diffeomorphic to a sphere. S. Bren…
math.DG2026
Minimal hypersurfaces in spheres generated by isoparametric foliations
Junqi Lai, Guoxin Wei
We investigate the existence of minimal hypersurfaces in that are generated by the isoparametric foliation of a subsphere . By considering a genera…
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…