Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space
Bayard, Pierre
Methods Appl. Anal., Tome 16 (2009) no. 1, p. 87-118 / Harvested from Project Euclid
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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.
Publié le : 2009-03-15
Classification:  Entire graphs,  prescribed scalar curvature,  scalar curvature flow,  Minkowski space,  35J60,  35K55,  53C50 
@article{1255958153,
     author = {Bayard, Pierre},
     title = {Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space},
     journal = {Methods Appl. Anal.},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 87-118},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255958153}
}

Bayard, Pierre. Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space. Methods Appl. Anal., Tome 16 (2009) no. 1, pp.  87-118. http://gdmltest.u-ga.fr/item/1255958153/