Some Invariants of Equitorsion Third Type Almost Geodesic Mappings

Invariants of Special Second-Type Almost Geodesic Mappings of Generalized Riemannian Space

“…Different mappings of Riemannian and generalized Riemannian spaces as well as their invariants have been investigated (see [1,2,6,[9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]28,29,31]). N. S. Sinyukov started the research about almost geodesic mappings [19].…”

Weyl projective objects $\protect\underset{1}{\mathcal{W}}, \underset{2}{\mathcal{W}},\underset{3}{\mathcal{W}}$ for equitorsion geodesic mappings

“…for a 1-form and an anti-symmetric tensor of the type (0,2). Invariants of geodesic mappings of a non-symmetric affine connection manifold GA N and some their properties are obtained in [25][26][27]. The main goal of this paper is to obtain some other generalizations of invariants of geodesic mappings defined on the manifold GA N .…”

“…GA N be an equitorsion geodesic mapping of a non-symmetric affine connection manifold GA N . The basic equation of this mapping is (see [25][26][27])…”

“…Many research papers and monographs [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][21][22][23][24][25][26][27] are focused on development of the affine connection spaces theory, on the theory of mappings between these spaces, on the theory of invariants of these mappings and on the applications of them. N. S. Sinyukov [21], J. Mikeš with his research group [9][10][11]22], G. Hall [6,7], G. P. Pokhariyal [16,17], U. P. Singh [20] and many other researchers have given significant contributions to the development of the concept of symmetric affine connection spaces.…”

On semisymmetric connection

“…A lot of research papers and monographs [1] - [21] are dedicated to the theory of Riemannian spaces, affine connected ones and their generalizations.…”