37 citations · 144 across the 21 of their papers we have counts for
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On the asymptotic behavior of Einstein manifolds with an integral bound on the Weyl curvature
Romain Gicquaud, Dandan Ji, Yuguang Shi
In this paper we consider the geometric behavior near infinity of some Einstein manifolds with Weyl curvature belonging to a certain space. Namely, we show that if…
Asymptotically hyperbolic manifolds with small mass
Mattias Dahl, Romain Gicquaud, Anna Sakovich
For asymptotically hyperbolic manifolds of dimension with scalar curvature at least equal to the conjectured positive mass theorem states that the mass is non-negativ…
A non-existence result for a generalization of the equations of the conformal method in general relativity
Mattias Dahl, Romain Gicquaud, Emmanuel Humbert
The constraint equations of general relativity can in many cases be solved by the conformal method. We show that a slight modification of the equations of the conformal method admi…
Penrose type inequalities for asymptotically hyperbolic graphs
Mattias Dahl, Romain Gicquaud, Anna Sakovich
In this paper we study asymptotically hyperbolic manifolds given as graphs of asymptotically constant functions over hyperbolic space $\bH^n$. The graphs are considered as subsets…