21 citations · 40 across the 33 of their papers we have counts for
5 papers · 1 filter
An improved result on Chern conjecture
Qing-Ming Cheng, Fengjiang Li, Guoxin Wei
Let be a closed minimal hypersurface with constant scalar curvature. Chern conjecture says that a closed minimal hypersurface with constant scalar cu…
Anisotropic-Length-Preserving Weighted Anisotropic Curvature Flows
Zhishuai Liu, Guoxin Wei
In this paper, we study the anisotropic-length-preserving weighted anisotropic curvature flow for smooth convex closed plane curves. For any smooth, embedded, closed, convex initia…
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 …
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…