Communications in Mathematical Physics

, Volume 29, Issue 1, pp 55–59

Conditions on a connection to be a metric connection

  • B. G. Schmidt

DOI: 10.1007/BF01661152

Cite this article as:
Schmidt, B.G. Commun.Math. Phys. (1973) 29: 55. doi:10.1007/BF01661152


It is shown that a torsion free linear connection is determined by a metric of given signature if and only if its holonomy group is a subgroup of the orthogonal group corresponding to the signature.

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • B. G. Schmidt
    • 1
  1. 1.I. Institut für Theoretische PhysikUniversität HamburgGermany

Personalised recommendations