On Canonical Almost Geodesic Mappings of Type <i>π</i>₂(<i>e</i>)

Abstract

In the paper, we consider canonical almost geodesic mappings of type π 2 ( 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 π 2 ( 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.

Keywords

• canonical almost geodesic mappings
• cauchy-type pdes
• riemann tensor
• symmetric space