2 citations · 2 across the 4 of their papers we have counts for
4 papers
Curvature inequalities and rigidity for constant mean curvature and spacetime constant mean curvature surfaces
Alejandro Peñuela Diaz
We establish curvature inequalities and rigidity results for surfaces satisfying constant mean curvature type conditions in both Riemannian and Lorentzian geometry. In the Riemanni…
Foliations by critical surfaces of the Hawking energy in asymptotically flat initial data sets
Alejandro Peñuela Diaz
Area-constrained critical surfaces for the Hawking quasi-local energy ("Hawking surfaces") provide a natural setting for that energy: they enjoy positivity and rigidity properties.…
Rigidity and positivity of Hawking quasi-local energy on area-constrained critical surfaces
Alejandro Peñuela Diaz
A key test for any quasi-local energy in general relativity is that it be nonnegative and satisfy a rigidity property; if it vanishes, the region enclosed is flat. We show that the…
Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass
Armando J. Cabrera Pacheco, Carla Cederbaum, Penelope Gehring +1
In 2015, Mantoulidis and Schoen constructed -dimensional asymptotically Euclidean manifolds with non-negative scalar curvature whose ADM mass can be made arbitrarily close to th…