Parallel (co-)tractors and the geometry of first BGG solutions on almost Grassmannian structures
Abstract
Abstract We study the standard tractor bundle and the standard cotractor bundle of an almost Grassmannian structure: We provide explicit formulae for their splitting operators, first BGG operators as well as prolongation connections. We characterize parallel tractors and cotractors as well as the solutions of the BGG operators in standard geometric terms. Moreover, we describe the geometry canonically endowed on the zero locus of a solution of the first BGG operators.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Control and Dynamics of Mobile Robots
Vehicle Dynamics and Control Systems
Publication details
- Journal / source
- Annali di Matematica Pura ed Applicata (1923 -)
- Publisher
- Springer Science and Business Media LLC
- Publication date
- 6 August 2026
- Language
- EN