Note on pre-Courant algebroid structures for parabolic geometries


This note aims to demonstrate that every parabolic geometry has a naturally defined per-Courant algebröıd structure. If the geometry is regular, this structure is a Courant algebröıd if and only if the the curvature κ of the Cartan connection vanishes. This note assumes familiarity with both parabolic geometry, and Courant algebröıds. See [ČS00] and [ČG02… (More)