Universidade Federal do Pará

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19982026

most citedThe Unruh effect and its applications

968 citations

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math.DG2023

A global invariant for path structures and second order differential equations

Elisha Falbel, Jose Miguel Veloso

We study a global invariant for path structures. The invariant is obtained as a secondary invariant from a Cartan connection on a canonical bundle associated to a path structure. I…

math.DG2021★ 1 cited

On Einstein hypersurfaces of $I \times_{f} Q^{n} (c)$

Valter Borges, Adam da Silva

In this paper, we investigate Einstein hypersurfaces of the warped product $I \times_{f} Q^{n} (c)$ , where $Q^{n} (c)$ is a space form of curvature $c$ . We prove that…

math.DG2021

Cartan connections and path structures with large automorphisms groups

Elisha Falbel, Martin Mion-Mouton, Jose Miguel Veloso

We classify compact manifolds of dimension three equipped with a path structure and a fixed contact form (which we refer to as a strict path structure) under the hypothesis that th…

math.DG2018

Flag structures on real 3-manifolds

E Falbel, J Veloso

We define flag structures on a real three manifold M as the choice of two complex lines on the complexified tangent space at each point of M. We suppose that the plane field define…

math.DG2018★ 1 cited

Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary

H. Baltazar, A. Da Silva, F. Oliveira

The goal of this paper is to study weakly Einstein critical metrics of the volume functional on a compact manifold $M$ with smooth boundary $\partial M$ . Here, we will give the com…

math.DG2017★ 2 cited

Rigidity for critical metrics of the volume functional

A. Barros, A. Da Silva

Geodesic balls in a simply connected space forms $S^{n}$ , $R^{n}$ or $H^{n}$ are distinguished manifolds for comparison in bounded Riemannian geometry. In…