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• W2022536637 startingPage "711" @default.
• W2022536637 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 Riemannian manifold equipped with a metric connection of skew-symmetric torsion. On the Aloff-Wallach space N(1,1) we construct families of connections admitting parallel spinors. Furthermore, we investigate the geometry of these connections as well as the geometry of the underlying Riemannian metric. Finally, we prove that any 7-dimensional 3-Sasakian manifold admits 2-parameter families of linear metric connections and spinorial connections defined by 4-forms with parallel spinors." @default.
• W2022536637 created "2016-06-24" @default.
• W2022536637 creator A5021571576 @default.
• W2022536637 creator A5058256642 @default.
• W2022536637 date "2004-04-01" @default.
• W2022536637 modified "2023-10-13" @default.
• W2022536637 title "On the holonomy of connections with skew-symmetric torsion" @default.
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• W2022536637 doi "https://doi.org/10.1007/s00208-003-0507-9" @default.
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