On a special almost geodesic mapping of third type of affine spaces.

N. S. Sinyukov [5] introduced the concept of an of a space $A_{n}$ with an affine connection without torsion onto ${\bar{A}}_{n}$ and found three types: $π_{1}$ , $π_{2}$ and $π_{3}$ . The authors of [1] proved completness of that classification for $n > 5$ .By definition, special types of mappings $π_{1}$ are characterized by equations $P_{i j, k}^{h} + P_{i j}^{α} P_{α k}^{h} = a_{i j} δ_{k}^{h},$ where $P_{i j}^{h} \equiv {\bar{Γ}}_{i j}^{h} - Γ_{i j}^{h}$ is the deformation tensor of affine connections of the spaces $A_{n}$ and ${\bar{A}}_{n}$ .In this paper geometric objects which preserve these mappings are found and also closed classes of such spaces are described. ...

On geodesic mappings of general affine connexion spaces and of generalized Riemannian spaces.

Minčić, Svetislav, Stanković, Mića (1997)

Matematichki Vesnik

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