Shapiro, Ya. L.; Igoshin, V. A. A geodesic field with singularities and a cell-like manifold. (Russian) Zbl 0565.53029 Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 11(270), 74-77 (1984). 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 Cited in 1 Review MSC: 53C22 Geodesics in global differential geometry 53B30 Local differential geometry of Lorentz metrics, indefinite metrics Keywords:geodesic field; cell-like manifold PDF BibTeX XML Cite \textit{Ya. L. Shapiro} and \textit{V. A. Igoshin}, Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 11(270), 74--77 (1984; Zbl 0565.53029)