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On Invariant Connections over a Principal Fibre Bundle*

Published online by Cambridge University Press:  22 January 2016

Hsien-Chung Wang
Hsien-Chung Wang*
Affiliation:
Northwestern University
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The invariant affine connection over a coset space G/J of a Lie group G have been discussed by various authors. Recently, Nomizu [8] gave a systematic study of this problem when J is reductible in G. Among other results, he established a 1-1 correspondence between the invariant affine connections and certain multilinear mappings, and calculated the torsion and curvature. For canonical affine connection of the second kind, the holonomy group was also given.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 13 , June 1958 , pp. 1 - 19
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1958

Footnotes

*

Sponsored by National Science Foundation.

References

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