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A geodesic field with singularities and a cell-like manifold. (Russian) Zbl 0565.53029
Starting from a one-parameter family of geodesic lines (called a geodesic field) with singularities on a smooth pseudo-Riemannian manifold, to every singular point of the geodesic field a certain cell-like manifold is constructed by parallel translations and motions, and a classification of these cell-like manifolds is given.
Reviewer: L.Tamássy

MSC:
53C22 Geodesics in global differential geometry
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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