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On the holonomy of connections with skew-symmetric torsion
Mathematische Annalen, no. 4 (2004): 711-748
Abstract
We investigate the holonomy group of a linear metric connection with skew-symmetric torsion. In case of the euclidian space and a constant torsion form this group is always semisimple. It does not preserve any non-degenerated 2-form or any spinor. Suitable integral formulas allow us to prove similar properties in case of a compact Riemann...More
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