Geodesic
Vanishing theorems for some classes of Riemann--Cartan manifolds
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 7-12.

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In this paper, a classification of Riemann–Cartan manifolds based on the orthogonal decomposition of the torsion tensor is given. Problems on the existence of two classes $\wp_1\oplus\wp_2$ and $\wp_3$ of Riemann–Cartan spaces are discussed. 
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I. A. Gordeeva. Vanishing theorems for some classes of Riemann--Cartan manifolds. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 7-12. http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a1/

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