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On Invariant Connections over a Principal Fibre Bundle

Name: On Invariant Connections over a Principal Fibre Bundle
Creator: Wang, Hsien-chung
Keywords: Riemannian manifolds, 13. Climate action, 11. Sustainability, 53.00

On invariant connections over a principal fibre bundle

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1958Publisher:Cambridge University Press (CUP)Journal:Nagoya Mathematical Journal, volume 13, pages 1-19 (issn: 0027-7630, eissn: 2152-6842,

Authors: Wang, Hsien-chung;

doi: 10.1017/s0027763000023461

On Invariant Connections over a Principal Fibre Bundle

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Abstract

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.

Keywords

Riemannian manifolds, 53.00

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	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	93
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