4 papers
Geometry of conic connections
Andreas Äap, Katharina Neusser
A cone structure on a complex manifold is a closed submanifold of the projectivized tangent bundle of that is submersive over . So this…
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…
Flat extensions of principal connections and the Chern-Simons -form
Andreas Äap, Keegan J. Flood, Thomas Mettler
We introduce the notion of a flat extension of a connection on a principal bundle. Roughly speaking, admits a flat extension if it arises as the pull-back of a component…
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…