57 citations · 123 across the 20 of their papers we have counts for
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Deforming the scalar curvature of the de Sitter-Schwarzschild space
C. Tiarlos Cruz, Levi Lopes de Lima, José Fabio Montenegro
Building upon the work of Brendle, Marques and Neves on the construction of counterexamples to Min-Oo's conjecture, we exhibit deformations of the de Sitter-Schwarzschild space of…
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…
Penrose inequalities and a positive mass theorem for charged black holes in higher dimension
Levi Lopes de Lima, Frederico Girão, Weslley Lozório +1
We use the inverse mean curvature flow to establish Penrose-type inequalities for time-symmetric Einstein-Maxwell initial data sets which can be suitably embedded as a hypersurface…