Novel invariants for almost geodesic mappings of the third type

Abstract

Two kinds of invariance for geometrical objects under transformations are involved in this paper. Based on these kinds, we obtained new invariants for almost geodesic mappings of the third type of a non-symmetric affine connection space in this paper. Our results are presented in two sections. In the Section 3, we obtained the invariants for the equitorsion almost geodesic mappings which do not have the property of reciprocity.