On almost geodesic mappings π2 (e), e = ± 1

Abstract

In this paper almost geodesic mappings of type π(e), e = ±1, of the space An with an affine connection will be investigated. We find more precise fundamental equations of these almost geodesic mappings of type π(e): An → An. We prove that the set of all Riemannian spaces Vn, for which An admits almost geodesic mappings of type π(e), where e = ±1, depends on at most 1/2n2(n + 1) + 2n + 3 real parameters.