On equitorsion geodesic mappings of general affine connection spaces onto generalized Riemannian spaces

AbstractIn the papers Minčić (1973) [15], Minčić (1977) [16], several Ricci type identities are obtained by using non-symmetric affine connection. Four kinds of covariant derivatives appear in these identities.In the present work, we consider equitorsion geodesic mappings f of two spaces GAN and GR¯N, where GR¯N has a non-symmetric metric tensor, i.e. we study the case when GAN and GR¯N have the same torsion tensors at corresponding points. Such a mapping is called an equitorsion mapping Minčić (1997) [12], Stanković et al. (2010) [14], Stanković (in press) [13].The existence of a mapping of such type implies the existence of a solution of the fundamental equations. We find several forms of these fundamental equations. Among these forms a particularly important form is system of partial differential equations of Cauchy type