Entire spacelike hypersurfaces of constant Gauß curvature in Minkowski space. (English) Zbl 1161.53041

Bayard, Pierre; Schnürer, Oliver C.

J. Reine Angew. Math. 627, 1-29 (2009).

From the authors’ abstract: “We prove existence and stability of smooth strictly convex spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. The proof is based on barrier constructions and local a priori estimates.”

Reviewer: Kazim Ilarslan (Kirikkale)

MSC:

53C42	Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53C50	Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics

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