Add to ORKGWe show that sets of conformal data on closed manifolds with the metric in the positive or zero Yamabe class, and with the gradient of the mean curvature function sufficiently small, are mapped to solutions of the Einstein constraint equations. This result extends previous work which required the conformal metric to be in the negative Yamabe class, and required the mean curvature function to be nonzero
We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of lar...
We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of lar...
On a compact three-dimensional Riemannian manifold with boundary, we prove the compactness of the fu...
We show that sets of conformal data on closed manifolds with the metric in the positive or zero Yama...
ABSTRACT. The conformal method has been effective for parametrizing solutions to the Einstein constr...
In this dissertation, we prove a number of results regarding the conformal method of finding solutio...
We consider the conformal decomposition of Einstein’s constraint equations introduced by Lichnerowic...
Because of the well-posedness of the Field Equations, one can parameterize the set of all spacetimes...
We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of lar...
Numerical solutions to the Einstein constraint equations are constructed on a selection of compact o...
The conformal formulation provides a method for constructing and parametrizing solutions of the Eins...
17 pages, no figureInternational audienceIn this short note, we give a construction of solutions to ...
17 pages, no figureInternational audienceIn this short note, we give a construction of solutions to ...
We study the constraint equations for the Einstein-scalar field system on compact manifolds. Using t...
AbstractThis paper considers the prescribed zero scalar curvature and mean curvature problem on the ...
We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of lar...
We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of lar...
On a compact three-dimensional Riemannian manifold with boundary, we prove the compactness of the fu...
We show that sets of conformal data on closed manifolds with the metric in the positive or zero Yama...
ABSTRACT. The conformal method has been effective for parametrizing solutions to the Einstein constr...
In this dissertation, we prove a number of results regarding the conformal method of finding solutio...
We consider the conformal decomposition of Einstein’s constraint equations introduced by Lichnerowic...
Because of the well-posedness of the Field Equations, one can parameterize the set of all spacetimes...
We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of lar...
Numerical solutions to the Einstein constraint equations are constructed on a selection of compact o...
The conformal formulation provides a method for constructing and parametrizing solutions of the Eins...
17 pages, no figureInternational audienceIn this short note, we give a construction of solutions to ...
17 pages, no figureInternational audienceIn this short note, we give a construction of solutions to ...
We study the constraint equations for the Einstein-scalar field system on compact manifolds. Using t...
AbstractThis paper considers the prescribed zero scalar curvature and mean curvature problem on the ...
We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of lar...
We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of lar...
On a compact three-dimensional Riemannian manifold with boundary, we prove the compactness of the fu...