Geodesic
Three classes of Weitzenböck manifolds
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 92-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Weitzenböck manifold is the triplet defined by a differential manifold with the metric $g$ of a certain signature and linear connection of zero curvature tensor, the nonzero torsion tensor, and the metricity property. The theory of such manifolds is called the “new theory of gravity”. We consider properties of three classes of such manifolds and on this base prove the vanishing thorems.
Keywords: connection with torsion, curvature tensor, teleparallelism
Mots-clés : torsion tensor, Weitzenböck spaces. 
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I. A. Gordeeva; S. E. Stepanov. Three classes of Weitzenböck manifolds. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 92-95. http://geodesic.mathdoc.fr/item/IVM_2012_1_a12/

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