1 citations · 1 across the 3 of their papers we have counts for
3 papers
Hopf type theorems in Riemannian manifolds
Hilário Alencar, Gregório Silva Neto, Detang Zhou
In 1951, H. Hopf proved that the only surfaces, homeomorphic to the sphere, with constant mean curvature in the Euclidean space are the round (geometrical) spheres. In this paper w…
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…
On the Index of Constant Mean Curvature Hypersurfaces
E. Colberg, A. M. de Jesus, K. Kinneberg +1
In 1968, Simons introduced the concept of index for hypersurfaces immersed into the Euclidean sphere S^{n+1}. Intuitively, the index measures the number of independent directions i…