Emanuela Viana

collaborators

3 papers

math.DG2021

Conformal Vector Fields and the De-Rham Laplacian on a Riemannian Manifold with Boundary

Antônio Freitas, Israel Evangelista, Emanuel Viana

Let $(M^{n}, g)$ be an $n$ -dimensional compact connected Riemannian manifold with boundary. In this article, we study the effects of the presence of a nontrivial conformal vector fiel…

math.DG2021

Critical metrics on $4$ -manifolds with harmonic anti-self dual Weyl tensor

Emanuel Viana

We prove that a $4$ -dimensional simply connected, compact critical metric of the volume functional with harmonic anti-self dual Weyl tensor and boundary isometric to a standard sph…

math.DG2018

Conformal gradient vector fields on Riemannian manifolds with boundary

Israel Evangelista, Emanuel Viana

Let $(M^{n}, g)$ be an $n$ -dimensional compact connected Riemannian manifold with smooth boundary. We show that the presence of a nontrivial conformal gradient vector field on $M$ , wi…

Conformal Vector Fields and the De-Rham Laplacian on a Riemannian Manifold with Boundary

Critical metrics on 4-manifolds with harmonic anti-self dual Weyl tensor

Conformal gradient vector fields on Riemannian manifolds with boundary

Critical metrics on $4$ -manifolds with harmonic anti-self dual Weyl tensor