# Einstein Type Systems on Complete Manifolds

@inproceedings{Avalos2022EinsteinTS, title={Einstein Type Systems on Complete Manifolds}, author={Rodrigo Avalos and Jorge H. de Lira and Nicolas Marqu{\'e}}, year={2022} }

In the present paper, we study the coupled Einstein Constraint Equations (ECE) on complete manifolds through the conformal method, focusing on non-compact manifolds with flexible asymptotics. In particular, we do not impose any specific model for infinity. First, we prove an existence criteria on compact manifolds with boundary which applies to more general systems and can be seen as a natural extension of known existence theory for the coupled ECE. Building on this, we prove an L existence…

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