Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space
Copyright policy )Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space
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.
Mathematics - Differential Geometry, Minkowski space, 53C50, 35J60; 35K55; 53C50, 35J60, scalar curvature flow, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), 35K55, FOS: Mathematics, Entire graphs, prescribed scalar curvature, Analysis of PDEs (math.AP)
Mathematics - Differential Geometry, Minkowski space, 53C50, 35J60; 35K55; 53C50, 35J60, scalar curvature flow, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), 35K55, FOS: Mathematics, Entire graphs, prescribed scalar curvature, Analysis of PDEs (math.AP)
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