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March 2009 Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space
Pierre Bayard
Methods Appl. Anal. 16(1): 87-118 (March 2009).

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. "Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space." Methods Appl. Anal. 16 (1) 87 - 118, March 2009.

Information

Published: March 2009
First available in Project Euclid: 19 October 2009

zbMATH: 1180.53069
MathSciNet: MR2556831

Subjects:
Primary: 35J60, 35K55, 53C50

Rights: Copyright © 2009 International Press of Boston

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Vol.16 • No. 1 • March 2009
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