Geodesic Mappings and Differentiability of Metrics, Affine and Projective Connections

Irena Hinterleitner, Josef Mikeš

In this paper we study fundamental equations of geodesic mappings of manifolds with affine and projective connection onto (pseudo-) Riemannian manifolds with respect to the smoothness class of these geometric objects. We prove that the natural smoothness class of these problems is preserved.