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arXiv · 0809.2360

Entire scalar curvature flow and hypersurfaces of constant scalar curvature in Minkowski space

Pierre Bayard
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Abstract

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.

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Pierre Bayard. 2008-09-13. Entire scalar curvature flow and hypersurfaces of constant scalar curvature in Minkowski space. https://arxiv.org/abs/0809.2360

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