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arXiv · 1911.13147

Cartan geometries and multiplicative forms

Francesco Cattafi
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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.

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Francesco Cattafi. 2019-11-29. Cartan geometries and multiplicative forms. https://doi.org/10.1016/j.difgeo.2021.101722

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