Cartan geometries and multiplicative forms
arXiv:1911.13147 · doi:10.1016/j.difgeo.2021.101722
Abstract
In this paper we show that Cartan geometries can be studied via transitive Lie groupoids endowed with a special kind of vector-valued multiplicative 1-forms. This viewpoint leads us to a more general notion, that of Cartan bundle, which encompasses both Cartan geometries and G-structures.
16 pages; final version accepted for publication (very minor changes)