3 papers
math.DG2026
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…
math.DG2026
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…
math.DG2026
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…