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Real Killing spinors and holonomy

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We give a description of all complete simply connected Riemannian manifolds carrying real Killing spinors. Furthermore, we present a construction method for manifolds with the exceptional holonomy groupsG 2 and Spin(7).

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Communicated by A. Connes

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Bär, C. Real Killing spinors and holonomy. Commun.Math. Phys. 154, 509–521 (1993). https://doi.org/10.1007/BF02102106

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