collaborators

4 papers

math.DG2026

Integral Identities and Rigidity of Generalized -Quasi-Einstein Manifolds

Alcides de Carvalho, W. O. Costa-Filho

We establish differential and integral identities for closed generalized -quasi-Einstein manifolds . These identities yield criteria for conformality, the Killing c…

math.DG2026

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…

math.DG2024

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…

math.DG2024

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…