On Canonical Almost Geodesic Mappings of Type π2(e)

Abstract

In the paper, we consider canonical almost geodesic mappings of type π2(e) . We have found the conditions that must be satisfied for the mappings to preserve the Riemann tensor. Furthermore, we consider canonical almost geodesic mappings of type π2(e) of spaces with affine connections onto symmetric spaces. The main equations for the mappings are obtained as a closed mixed system of Cauchy-type Partial Differential Equations. We have found the maximum number of essential parameters which the solution of the system depends on.