A Characterization of Invariant Connections

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2014
• 1. Verfasser: Hanusch, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2014
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146822
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A Characterization of Invariant Connections / M. Hanusch // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 10 назв. — англ.

Given a principal fibre bundle with structure group S, and a fibre transitive Lie group G of automorphisms thereon, Wang's theorem identifies the invariant connections with certain linear maps ψ:g→s. In the present paper, we prove an extension of this theorem which applies to the general situat...