3 papers
math.DG2024
Partial AHS-Structures, their Cartan description and partial BGG sequences
Andreas Cap, Micha Andrzej Wasilewicz
G-structures and Cartan geometries are two major approaches to the description of geometric structures (in the sense of differential geometry) on manifolds of some fixed dimension…
math.DG2024
On Relative Tractor Bundles
Andreas Čap, Zhangwen Guo, Michał 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…
math.DG2022
Elementary Relative Tractor Calculus for Legendrean contact structures
Michał Andrzej Wasilewicz
For a manifold endowed with a Legendrean (or Lagrangean) contact structure , we give an elementary construction of an invariant partial connection on the…