On equitorsion geodesic mappings of general affine connection spaces onto generalized Riemannian spaces (Q628263)

The author considers a geodesic mapping between two spaces with non-symmetric connections, the connection of the target space being provided by a non-symmetric metric, and calls it an equitorsion geodesic mapping if it preserves the torsions of those non-symmetric connections. He reduces the question of the existence of such a mapping to the solvability of some systems of PDEs of Cauchy type.