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Distinguished normalization on non-minimal null hypersurfaces. (English) Zbl 1353.53070
Summary: We show that on a non-minimal lightlike hypersurface with nullity degree 1, there exists a unique null transversal (normalizing) vector field with prescribed calibrated divergence, for which the induced connection and the Levi-Civita connection of the associate non-degenerate metric coincide.

MSC:
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53B50 Applications of local differential geometry to the sciences
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