Gregório Silva

collaborators

4 papers

math.DG2024

Gap theorems for complete self-shrinkers of $r$ -mean curvature flows

Hilário Alencar, G. Pacelli Bessa, Gregório Silva Neto

In this paper, we prove gap results for complete self-shrinkers of the $r$ -mean curvature flow involving a modified second fundamental form. These results extend previous results f…

math.DG2024

On $O (p) \times O (q)$ -invariant constant mean curvature hypersurfaces with singularity

Hilário Alencar, Ronaldo Garcia, Gregório Silva Neto

We classify the $O (p) \times O (q)$ -invariant constant mean curvature hypersurfaces with singularity at the origin, solving a conjecture of Wu-yi Hsiang.

math.DG2022

On the spectrum and index of expanding and translating solitons of the mean curvature flow in $R^{3}$

Hilário Alencar, Gregório Silva Neto

In this paper we prove that two-dimensional translating solitons in $R^{3}$ with finite $L$ -index are homeomorphic to a plane or a cylinder and that a two-dimensional self-e…

math.DG2022

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…

Gap theorems for complete self-shrinkers of r-mean curvature flows

On O(p)×O(q)-invariant constant mean curvature hypersurfaces with singularity

On the spectrum and index of expanding and translating solitons of the mean curvature flow in R3

Hopf type theorems for surfaces in the de Sitter-Schwarzschild and Reissner-Nordstrom manifolds

Gap theorems for complete self-shrinkers of $r$ -mean curvature flows

On $O (p) \times O (q)$ -invariant constant mean curvature hypersurfaces with singularity

On the spectrum and index of expanding and translating solitons of the mean curvature flow in $R^{3}$