Communications in Mathematical Physics

, Volume 29, Issue 1, pp 55–59

Conditions on a connection to be a metric connection

  • B. G. Schmidt
Article

Abstract

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Kobayashi, S., Nomizu, K.: Foundations of differential geometry, Vol. 1. New York: Interscience 1963.Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

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

Personalised recommendations