Methods and Applications of Analysis
Volume 16 (2009)
Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space
Pages: 87 – 118
We prove existence in the Minkowski space of entire spacelike hypersurfaces with constant negative scalar curvature and given set of lightlike directions at infinity; we also construct the entire scalar curvature flow with prescribed set of lightlike directions at infinity, and prove that the flow converges to a spacelike hypersurface with constant scalar curvature. The proofs rely on barriers construction and a priori estimates.
Entire graphs; prescribed scalar curvature; scalar curvature flow; Minkowski space
2010 Mathematics Subject Classification
35J60, 35K55, 53C50