3 papers
math.DG2026
Scalar curvature of self-shrinkers
Qing-Ming Cheng, Fengjiang Li, Guoxin Wei
In this paper, we study scalar curvature of -dimensional self-shrinkers in the Euclidean space . If the scalar curvature of an -dimensional self-shrinker is…
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 gr…