2 citations · 9 across the 26 of their papers we have counts for
3 papers · 2 filters
Rigidity Theorems of conformal class on compact manifolds with boundary
Ezequiel Barbosa, Heudson Mirandola, Feliciano Vitorio
Let M be a compact manifold with boundary. In this paper, we discuss some rigidity theorems of metrics in a same conformal class that fixes the boundary and satisfy certain integra…
A positive mass theorem for asymptotically flat manifolds with a non-compact boundary
Sergio Almaraz, Ezequiel Barbosa, Levi Lopes de Lima
We prove a positive mass theorem for -dimensional asymptotically flat manifolds with a non-compact boundary if either or if and the manifold is spin. T…
On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds
Ezequiel Barbosa, Levi Lopes de Lima, Frederico Girão
We show that the limit at infinity of the vector-valued Brown-York-type quasi-local mass along any coordinate exhaustion of an asymptotically hyperbolic -manifold satisfying the…