4 papers
On length-preserving and area-preserving inverse curvature flows in the hyperbolic plane
Zhishuai Liu, Guoxin Wei
In this paper, we study the area-preserving and length-preserving -type curvature flows of smooth, closed, convex curves in the two-dimensional hyperbolic plane $\mathbb H^2…
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…
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…
Complete two-sided -stable minimal hypersurfaces in
Qing-Ming Cheng, Guoxin Wei
In this paper, we study complete -stable minimal hypersurfaces in . We prove that complete two-sided -stable minimal hypersurfaces have Euclidean volume gr…