Bulletin of the Malaysian Mathematical Sciences Society | 2019
Special Almost Geodesic Mappings of the Second Type Between Generalized Riemannian Spaces
Abstract
We deal with almost geodesic lines of manifolds with non-symmetric linear connection. Also, we consider special almost geodesic mappings of the second type between Eisenhart’s generalized Riemannian spaces as well as between generalized classical (elliptic) and hyperbolic Kähler spaces. These mappings are generalizations of holomorphically projective mappings between generalized classical and hyperbolic Kähler spaces. We prove some existence theorems for special almost geodesic mappings of the second type between generalized Riemannian spaces as well as between generalized classical and hyperbolic Kähler spaces. Finally, we find some invariant geometric objects with respect to these mappings.