9 citations · 21 across the 20 of their papers we have counts for
3 papers · 1 filter
Rigidity of complete self-shrinkers whose tangent planes omit a nonempty set
Hilário Alencar, Manuel Cruz, Gregório Silva Neto
In this paper we prove rigidity results for the sphere, the plane and the right circular cylinder as the only self-shrinkers satisfying a classic geometric assumption, namely the u…
Hopf type theorems for self-similar solutions of curvature flows in
Hilário Alencar, Gregório Silva Neto, Detang Zhou
In this paper we prove rigidity results for two-dimensional, closed, immersed, non-necessarily convex, self-similar solutions of a wide class of fully non-linear parabolic flows in…
Hopf type Theorem for Self-Shrinkers
Hilário Alencar, Gregório Silva Neto, Detang Zhou
In this paper, we prove that a two-dimensional self-shrinker, homeomorphic to the sphere, immersed in the three dimensional Euclidean space is a round sphere, provided its mean cur…