3 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
Inversion of some curvature operators near a parallel Ricci metric II: Non-compact manifold with bounded geometry
Erwann Delay
Let (M,g) be a complete noncompact riemannian manifold with bounded geometry and parallel Ricci curvature. We show that some operators, "affine" relatively to the Ricci curvature,…
Lp almost conformal isometries of Sub-Semi-Riemannian metrics and solvability of a Ricci equation
Erwann Delay
Let M be a smooth compact manifold without boundary. We consider two smooth Sub-Semi-Riemannian metrics on M. Under suitable conditions, we show that they are almost conformally is…
Conformally covariant parametrizations for initial data in some modified Einstein gravity theories
Erwann Delay
We propose further conformal parametrizations for initial data in some modified Einstein gravity theories. Some of them give rise to conformally covariant systems.
Hilbert manifold structure for asymptotically hyperbolic relativistic initial data
Erwann Delay, Jérémie Fougeirol
We provide a Hilbert manifold structure {à} la Bartnik for the space of asymptotically hyperbolic initial data for the vacuum constraint equations. The adaptation led us to prove n…