Geodesic structure of 4-dimensional Shirokov spaces (Q1357933)

The authors call a Shirokov space an \(n\)-dimensional Riemannian space of arbitrary signature which has a line element which is reducible to that employed by \textit{P. A. Shirokov} in his celebrated Shirokov Theorem [Bull. Soc. Phys.-Math. Kazan, III. Ser. 1, 123-134 (1926)]. The geodesic structure of such spaces is investigated by the groups of motions defined on the spaces. Contents include: an introduction (including general information on Shirokov spaces); Lie algebras of projective motions; physical interpretation; geodesics; and various visualizations of the geodesic structure (given by computer graphics).