The canonical Cartan bundle and connection in CR geometry

Marc Herzlich (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

We give a differential geometric description of the Cartan (or tractor) bundle and its canonical connection in CR geometry, thus offering a direct, alternative, definition to the usual abstract approach.

Mots clés: CR geometry; Cartan bundle; Cartan connection

Domaines: Géométrie différentielle [math.DG]

Marc Herzlich. The canonical Cartan bundle and connection in CR geometry. Mathematical Proceedings of the Cambridge Philosophical Society, 2009, 146, pp.415-434. ⟨10.1017/S0305004108001527⟩. ⟨hal-00023617v3⟩