Geodesic
Three classes of Weitzenb\"ock manifolds
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 92-95.

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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, Weitzenböck spaces.
Mots-clés : torsion tensor 
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I. A. Gordeeva; S. E. Stepanov. Three classes of Weitzenb\"ock 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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