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Convex surfaces in Lorentzian spaces of constant curvature. (Surfaces convexes dans des espaces lorentziens à courbure constante.) (French) Zbl 0864.53016

In this paper are studied the convex surfaces in Lorentzian spaces of constant curvature; the isometric immersions of compact surfaces with curvature \(K< K_0\), in 3-dimensional Lorentz spaces (with constant curvature \(K_0)\); the existence and uniqueness for some isometric immersions of compact surfaces in de Sitter space. The results may be generalized to complete surfaces.
Reviewer: P.Stavre (Craiova)

MSC:

53B25 Local submanifolds
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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