9 citations · 22 across the 16 of their papers we have counts for
Showing 2020 · math.DGShow all
2 papers · 2 filters
math.DG2020
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…
math.DG2020★ 3 cited
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…