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Vanishing theorems for some classes of Riemann–Cartan manifolds

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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 ℘1 ⨁ ℘2 and ℘3 of Riemann–Cartan spaces are discussed.

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Authors and Affiliations

  1. Vladimir State University for the Humanities, Vladimir, Russia

    I. A. Gordeeva

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  1. I. A. Gordeeva
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Correspondence to I. A. Gordeeva.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 2, pp. 7–12, 2010.

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Gordeeva, I.A. Vanishing theorems for some classes of Riemann–Cartan manifolds. J Math Sci 177, 649–653 (2011). https://doi.org/10.1007/s10958-011-0492-6

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