1 citations · 1 across the 5 of their papers we have counts for
6 papers
Topology and Dirichlet spectrum of free boundary minimal and CMC surfaces
Alcides de Carvalho, Roney Santos
We find bounds for the genus and for the number of boundary components of a surface that is either index one as a free boundary minimal surface or stable as a free boundary constan…
Integral Identities and Rigidity of Generalized -Quasi-Einstein Manifolds
Alcides de Carvalho, W. O. Costa-Filho
We prove that every closed -quasi-Einstein manifold with constant is trivial whenever . This establishes the Colling--Dunajski conjecture in the…
On Generalized Quasi-Einstein Manifolds
Alcides de Carvalho, Anderson Lima, W. O. Costa-Filho
In this paper, we study generalized -quasi-Einstein under natural conditions on the potential vector field. We show that, under suitable integral assumptions, the…
Index estimates for harmonic Gauss maps
Alcides de Carvalho, Marcos P. Cavalcante, Wagner Costa-Filho +1
Let denote a closed surface with constant mean curvature in , a 3-dimensional Lie group equipped with a bi-invariant metric. For such surfaces, there is a harmoni…
Ruled Ricci surfaces and curves of constant torsion
Alcides de Carvalho, Iury Domingos, Roney Santos
We show that all non-developable ruled surfaces endowed with Ricci metrics in the three-dimensional Euclidean space may be constructed using curves of constant torsion and its bino…
Some Properties of the Intersection of Free Boundary Minimal Hypersurfaces in Euclidean Balls
Ezequiel Barbosa, Alcides de Carvalho, Roney Santos
In this work, we prove that any two free boundary minimal hypersurfaces in the unit Euclidean ball have an intersection point in any half-ball. This is a strong version of the Fran…