Cartan geometries and multiplicative forms
Differential Geometry
2021-01-28 v5
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.
Cite
@article{arxiv.1911.13147,
title = {Cartan geometries and multiplicative forms},
author = {Francesco Cattafi},
journal= {arXiv preprint arXiv:1911.13147},
year = {2021}
}
Comments
16 pages; final version accepted for publication (very minor changes)