The focal developable and the binormal indicatrix of a nonlightlike curve in Minkowski 3-space
The paper deals with the intrinsic geometry of curves in a pseudo Euclidean 3-space (``Minkowski 3-space'', ``pe-space''). Analyzing the instantaneous kinematics of the moving trihedral the authors calculate expressions for the osculating pe-circle, the (hyper)-osculating pe-sphere and the generator of the axoidal surface belonging to a not lightlike (i.e., not isotropic) curve \(c\). The paper is not based on ``classical'' related references [e.g., \textit{O. Giering}, ``Vorlesungen über höhere Geometrie'' (1982; Zbl 0493.51001)]. So besides some typos there occur some less usual terms as for example ``focal developable'' for the surface enveloped by the pe-normal planes of curve \(c\), ``binormal indicatrix'' for the pe-spherical image of the binormals of \(c\), ``hyperbola and concentric pseudo sphere'' for a pair of conjugate pe-spheres.
scientific article; zbMATH DE number 1523378