3 citations · 4 across the 9 of their papers we have counts for
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Half-space theorems for translating solitons of the r-mean curvature flow
Hilário Alencar, G. Pacelli Bessa, Gregório Silva Neto
In this paper, we establish nonexistence results for complete translating solitons of the r-mean curvature flow under suitable growth conditions on the (r-1)-mean curvature and on…
Gap theorems for complete self-shrinkers of -mean curvature flows
Hilário Alencar, G. Pacelli Bessa, Gregório Silva Neto
In this paper, we prove gap results for complete self-shrinkers of the -mean curvature flow involving a modified second fundamental form. These results extend previous results f…
On -invariant constant mean curvature hypersurfaces with singularity
Hilário Alencar, Ronaldo Garcia, Gregório Silva Neto
We classify the -invariant constant mean curvature hypersurfaces with singularity at the origin, solving a conjecture of Wu-yi Hsiang.
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…