Communications in Mathematical Physics

, Volume 154, Issue 3, pp 509–521

Real Killing spinors and holonomy


  • Christian Bär
    • Mathematisches Institut der Universität Bonn

DOI: 10.1007/BF02102106

Cite this article as:
Bär, C. Commun.Math. Phys. (1993) 154: 509. doi:10.1007/BF02102106


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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© Springer-Verlag 1993