Group contraction in a fiber bundle with Cartan connection
- 1 July 1977
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (7), 1358-1366
- https://doi.org/10.1063/1.523429
Abstract
A contraction of the structural group with respect to the stability subgroup is performed in a fiber bundle with Cartan connection. The relation of the connections in the original and in the contracted bundle is examined. As an example interesting for physics the contraction of the SO(4,1) de Sitter bundle over space–time to the affine tangent bundle over space–time is discussed with the latter bundle possessing the Poincaré group as structural group.Keywords
This publication has 3 references indexed in Scilit:
- Wave Equations on a de Sitter Fiber BundleFortschritte der Physik, 1975
- Extended Translation Invariance and Associated Gauge FieldsProgress of Theoretical Physics, 1967
- Lorentz Invariance and the Gravitational FieldJournal of Mathematical Physics, 1961