Quasiconvex Foliations and Asymptotically Flat Metrics of Non-negative Scalar Curvature

摘要

We prove that a broad subset of the space of asymptotically flat Riemannian metrics of nonnegative scalar curvature on R~3 is connected using a new method for prescribing scalar curvature that generalizes a method developed by Bartnik for quasi-spherical metrics.