2 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.DG2025
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 grow…