# Subtleties concerning conformal tractor bundles

Open Mathematics (2012)

- Volume: 10, Issue: 5, page 1721-1732
- ISSN: 2391-5455

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topC. Graham, and Travis Willse. "Subtleties concerning conformal tractor bundles." Open Mathematics 10.5 (2012): 1721-1732. <http://eudml.org/doc/269690>.

@article{C2012,

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.},

author = {C. Graham, Travis Willse},

journal = {Open Mathematics},

keywords = {Conformal geometry; Parabolic geometry; Tractor bundle; Cartan connection; Associated bundle; conformal geometry; parabolic geometry; tractor bundle; associated bundle},

language = {eng},

number = {5},

pages = {1721-1732},

title = {Subtleties concerning conformal tractor bundles},

url = {http://eudml.org/doc/269690},

volume = {10},

year = {2012},

}

TY - JOUR

AU - C. Graham

AU - Travis Willse

TI - Subtleties concerning conformal tractor bundles

JO - Open Mathematics

PY - 2012

VL - 10

IS - 5

SP - 1721

EP - 1732

AB - 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.

LA - eng

KW - Conformal geometry; Parabolic geometry; Tractor bundle; Cartan connection; Associated bundle; conformal geometry; parabolic geometry; tractor bundle; associated bundle

UR - http://eudml.org/doc/269690

ER -

## References

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