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Subtleties concerning conformal tractor bundles.

Authors :
Graham, C.
Willse, Travis
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