Geodesic
The Theorem about Tensor Relation at any $N$-Dimential Pseudo-Riemannian Space
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 16-22

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It is considered any $N $-dimential pseudo-Riemannian space $R^N_{P, N-P}$, with some second rank tensor $\Psi_{ik}(x)$. We established and proved important tensor relation such that second rank tensor and them invariants are satisfyed. We use the axial tensor of Levi–Chivita for proving these relation. It is shown that there are others useful tensor relations.
Keywords: pseudo-rimannian space, Levi–Chivita tensor, tensor relation, invariants of second rank tensor. 
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     author = {P. A. Vshivtseva and I. P. Denisova and M. M. Denisov},
     title = {The {Theorem} about {Tensor} {Relation} at any $N${-Dimential} {Pseudo-Riemannian} {Space}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     publisher = {mathdoc},
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P. A. Vshivtseva; I. P. Denisova; M. M. Denisov. The Theorem about Tensor Relation at any $N$-Dimential Pseudo-Riemannian Space. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 16-22. http://geodesic.mathdoc.fr/item/VNGU_2009_9_4_a1/