143 citations · 335 across the 30 of their papers we have counts for
32 papers
Prescribed Ricci curvature near an Einstein manifold with boundary
Erwann Delay
Let (M, g) be a compact Einstein Riemannian manifold with boundary. We show that under certain conditions, the map that associates to a metric on M its Ricci curvature, its induced…
On Asymptotically Locally Hyperbolic Metrics with Negative Mass
Piotr T. Chruściel, Erwann Delay
We construct families of asymptotically locally hyperbolic Riemannian metrics with constant scalar curvature (i.e., time symmetric vacuum general relativistic initial data sets wit…
Hyperbolic energy and Maskit gluings
Piotr T. Chruściel, Erwann Delay, Raphaela Wutte
We derive a formula for the energy of asymptotically locally hyperbolic (ALH) manifolds obtained by a gluing at infinity of two ALH manifolds. As an application we show that there…
Bartnik Hilbert manifold structure on fibers of the scalar curvature and the constraint operator
Erwann Delay
We adapt the Bartnik method to provide a Hilbert manifold structure for the space of solutions, without KID's, to the vacuum constraint equations on compact manifold of any dimensi…
The hyperbolic positive energy theorem
Piotr T. Chruściel, Erwann Delay
We show that the causal-future-directed character of the energy-momentum vector of -dimensional asymptotically hyperbolic Riemannian manifolds with spherical conformal infinity,…
On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics
Piotr T. Chruściel, Erwann Delay, Paul Klinger
We prove that the -gauge-fixed linearised Einstein operator is non-degenerate for Riemannian Kottler ("Schwarzschild-anti de Sitter") metrics with dimension- and topology-depen…