39 citations · 101 across the 10 of their papers we have counts for
10 papers
The Cheeger constant of an asymptotically locally hyperbolic manifold and the Yamabe type of its conformal infinity
Oussama Hijazi, Sebastian Montiel, Simon Raulot
Let (M, g) be an (n + 1)-dimensional asymptotically locally hyperbolic (ALH) manifold with a conformal compactification whose conformal infinity is (M, []). We will fi…
An Alexandrov theorem in Minkowski spacetime
Oussama Hijazi, Sebastian Montiel, Simon Raulot
In this paper, we generalize a theorem {à} la Alexandrov of Wang, Wang and Zhang [WWZ] for closed codimension-two spacelike submanifolds in the Minkowski spacetime for an adapted C…
A holographic principle for the existence of parallel spinor fields and an inequality of Shi-Tam type
Oussama Hijazi, Sebastián Montiel
Suppose that is the -dimensional boundary of a connected compact Riemannian spin manifold with non-negative scalar curvature, and that…
A holographic principle for the existence of imaginary Killing spinors
Oussama Hijazi, Simon Raulot, Sebastian Montiel
Suppose that is the -dimensional boundary, with positive (inward) mean curvature , of a connected compact -dimensional Riemannian spin manifold $(Ω^{n+1}…
Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant
Oussama Hijazi, Simon Raulot, Sebastian Montiel
We prove that, among all (n + 1)-dimensional spin static vacua with positive cosmological constant, the de Sitter spacetime is characterized by the fact that its spatial Killing ho…
On a Liu--Yau type inequality for surfaces
Oussama Hijazi, Simon Raulot, Sebastian Montiel
Let be a compact and mean-convex domain with smooth boundary , in an initial data set , which has no apparent horizon in its interior. If is spacel…