The natural lift curve of the spherical indicatrix of a non-null curve in Minkowski 3-space. (English) Zbl 1248.53015
Summary: We deal with the natural lift curves of the spherical indicatrices of a nonnull curve. Furthermore, some interesting results about the original curve were obtained depending on the assumption that the natural lift curves should be integral curves of the geodesic spray on the tangent bundles \(T(S^2_1)\) and \(T(H^2_0)\).
MSC:
53B25 | Local submanifolds |
53A04 | Curves in Euclidean and related spaces |
53B30 | Local differential geometry of Lorentz metrics, indefinite metrics |