A Characterization of Invariant Connections
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Characterization of Invariant Connections
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| Creator |
Hanusch, M.
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| Description |
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 situation where G acts non-transitively on the base manifold. We consider several special cases of the general theorem, including the result of Harnad, Shnider and Vinet which applies to the situation where G admits only one orbit type. Along the way, we give applications to loop quantum gravity.
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| Date |
2019-02-11T16:32:30Z
2019-02-11T16:32:30Z 2014 |
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| Type |
Article
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| Identifier |
A Characterization of Invariant Connections / M. Hanusch // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 10 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 22F50; 53C05; 53C80; 83C45 DOI:10.3842/SIGMA.2014.025 http://dspace.nbuv.gov.ua/handle/123456789/146822 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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