2012/01/12 by C. Robin Graham, Graham, C. Robin, Travis Willse +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #53A30 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Microtubule and mitosis dynamics #math.DG #msc:53A30
paper · pdf · doi:10.48550/arxiv.1201.2670
17 pages
arxiv created 2012/01/12 · openalex publication_date 2012/01/12 · arxiv updated 2012/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.