A. de Carvalho

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20212026

most citedSome Properties of the Intersection of Free Boundary Minimal Hypersurfaces in Euclidean Balls

1 citations · 1 across the 5 of their papers we have counts for

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math.DG2026

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…

math.DG2026

Integral Identities and Rigidity of Generalized $m$ -Quasi-Einstein Manifolds

Alcides de Carvalho, W. O. Costa-Filho

We prove that every closed $m$ -quasi-Einstein manifold $(M^{n}, g, X, λ)$ with constant $λ \leq 0$ is trivial whenever $m \leq - 2$ . This establishes the Colling--Dunajski conjecture in the…

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 $(M^{n}, g, X, λ)$ under natural conditions on the potential vector field. We show that, under suitable integral assumptions, the…

Topology and Dirichlet spectrum of free boundary minimal and CMC surfaces

Integral Identities and Rigidity of Generalized m-Quasi-Einstein Manifolds

On Generalized Quasi-Einstein Manifolds

Integral Identities and Rigidity of Generalized $m$ -Quasi-Einstein Manifolds