Communications in Mathematical Physics

, Volume 154, Issue 3, pp 509–521

Real Killing spinors and holonomy

  • Christian Bär

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 groupsG2 and Spin(7).

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Christian Bär
    • 1
  1. 1.Mathematisches Institut der Universität BonnBonn 1Germany