2 citations · 2 across the 2 of their papers we have counts for
4 papers
Prescribed non positive scalar curvature on asymptotically hyperbolic manifolds with application to the Lichnerowicz equation
Romain Gicquaud
We study the prescribed scalar curvature problem, namely finding which function can be obtained as the scalar curvature of a metric in a given conformal class. We deal with the cas…
Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant
Romain Gicquaud
In this note we prove an existence result for the Einstein conformal constraint equations for metrics with vanishing Yamabe invariant assuming that the TT-tensor is small in .
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…
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…