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Subtleties concerning conformal tractor bundles.
- Source :
- Central European Journal of Mathematics; Oct2012, Vol. 10 Issue 5, p1721-1732, 12p
- Publication Year :
- 2012
-
Abstract
- The realization of tractor bundles as associated bundles in conformal geometry is studied. It is shown that different natural choices of principal bundle with normal Cartan connection corresponding to a given conformal manifold can give rise to topologically distinct associated tractor bundles for the same inducing representation. Consequences for homogeneous models and conformal holonomy are described. A careful presentation is made of background material concerning standard tractor bundles and equivalence between parabolic geometries and underlying structures. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18951074
- Volume :
- 10
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Central European Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 78030704
- Full Text :
- https://doi.org/10.2478/s11533-012-0093-8