ПРО СПЕЦІАЛЬНІ 2F-ПЛАНАРНІ ВІДОБРАЖЕННЯ ПСЕВДО-РІМАНОВИХ ПРОСТОРІВ З f-СТРУКТУРОЮ

Some questions of the theory of 2F-planar mappings of manifolds endowed with an affine structure of a certain type are considered. We have proved that these mappings can be of three types: complete (of the fundamental type) and canonical of types I and II. Previously, we studied in detail the complete and canonical 2F-planar mappings of the first type. In this article, we consider the main questions for canonical 2F-planar mappings of type II. Theorems were proved that give a regular method that allows for any pseudo-Riemannian space with an absolutely parallel f-structure (Vn, gij, Fhi) either to find all spaces (V̅n, g̅ij, F̅hi), on which Vn admits a canonical 2F-planar mapping of the second type, or to prove that there are no such spaces. In particular, we showed that a pseudo-Riemannian space with an absolutely parallel f-structure, in which there is a concircular or quasi-concircular vector field, admits a non-trivial canonical 2F-planar mapping of the second type.