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gr-qc2015
The Einstein Constraint Equations on Asymptotically Euclidean Manifolds
James Dilts
In this dissertation, we prove a number of results regarding the conformal method of finding solutions to the Einstein constraint equations. These results include necessary and suf…
math.DG2015★ 1 cited
Yamabe Classification and Prescribed Scalar Curvature in the Asymptotically Euclidean Setting
David Maxwell, James Dilts
We prove a necessary and sufficient condition for an asymptotically Euclidean manifold to be conformally related to one with specified nonpositive scalar curvature: the zero set of…