4 citations · 4 across the 2 of their papers we have counts for
4 papers
Rigidity of free boundary MOTS
Abraão Mendes
The aim of this work is to present an initial data version of Hawking's theorem on the topology of back hole spacetimes in the context of manifolds with boundary. More precisely, w…
Vanishing theorems for the cohomology groups of free boundary hypersurfaces
Marcos P. Cavalcante, Abraão Mendes, Feliciano Vitório
In this paper, we prove that there exists a universal constant , depending only on positive integers and , such that if is a compact free boundary sub…
Characterization of hypersurfaces via the second eigenvalue of the Jacobi operator
Abraão Mendes
In this work we characterize certain immersed closed hypersurfaces of some ambient manifolds via the second eigenvalue of the Jacobi operator. First, we characterize the Clifford t…
Rigidity of marginally outer trapped 2-spheres
Abraão Mendes
In a recent work, Galloway [9] proved a local foliation theorem by MOTSs for a 3-dimensional initial data set with mean curvature in a 4-dimensional spacetime $(\…