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

Brian Smith, Gilbert Weinstein
2004 Communications in analysis and geometry  
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.
doi:10.4310/cag.2004.v12.n3.a2 fatcat:y3zgve5go5dtzehbbnbzlxt4cu