Almost geodesic mappings of type π1* of spaces with affine connection

Abstract

We consider almost geodesic mappings π1* of spaces with affine connections. This mappings are a special case of first type almost geodesic mappings. We have found the objects which are invariants of the mappings π1*. The fundamental equations of these mappings are in Cauchy form. We study π1* mappings of constant curvature spaces.