Alcides de Carvalho

collaborators

2 papers

math.DG2026

On Generalized Quasi-Einstein Manifolds

Alcides de Carvalho, Anderson Lima, W. O. Costa-Filho

In this paper, we study generalized $m$ -quasi-Einstein $(M^{n}, g, X, I^»)$ under natural conditions on the potential vector field. We show that, under suitable integral assumptions, the…

math.DG2026

Index estimates for harmonic Gauss maps

Alcides de Carvalho, Marcos P. Cavalcante, Wagner Costa-Filho +1

Let $I^£$ denote a closed surface with constant mean curvature in $G^{3}$ , a 3-dimensional Lie group equipped with a bi-invariant metric. For such surfaces, there is a harmon…