3 citations · 4 across the 6 of their papers we have counts for
6 papers
On the spectrum and index of expanding and translating solitons of the mean curvature flow in
Hilário Alencar, Gregório Silva Neto
In this paper we prove that two-dimensional translating solitons in with finite -index are homeomorphic to a plane or a cylinder and that a two-dimensional self-e…
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 surfaces in the de Sitter-Schwarzschild and Reissner-Nordstrom manifolds
Hilário Alencar, Gregório Silva Neto
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. These results 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…
Stable hypersurfaces with constant scalar curvature in Euclidean spaces
Hilário Alencar, Walcy Santos, Detang Zhou
We obtain some nonexistence results for complete noncompact stable hyppersurfaces with nonnegative constant scalar curvature in Euclidean spaces. As a special case we prove that th…
Curvature integral estimates for complete hypersurfaces
Hilário Alencar, Walcy Santos, Detang Zhou
We consider the integrals of -mean curvatures of a complete hypersurface in space forms which generalize volume , total mean curvature $(r…