4 papers
Two Fefferman-type constructions involving almost Grassmann structures and path geometries
Zhangwen Guo
We introduce a Fefferman-type construction that associates an almost Grassmannian structure of type to every -dimensional path geometry. We prove that the construc…
Parallel (co-)tractors and the geometry of first BGG solutions on almost Grassmannian structures
Zhangwen Guo
We study the standard tractor bundle and the standard cotractor bundle of an almost Grassmann structure: We provide explicit formulae for their splitting operators, first BGG opera…
Weyl structures for path geometries
Andreas Äap, Zhangwen Guo
Path geometries provide a geometric encoding of systems of second order ODE, which serves as a model for the geometric theory of more general systems of ODE and for cone structures…
On Relative Tractor Bundles
Andreas Äap, Zhangwen Guo, MichaÅ Andrzej Wasilewicz
This article contributes to the relative BGG-machinery for parabolic geometries. Starting from a relative tractor bundle, this machinery constructs a sequence of differential opera…