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Cartan geometries and multiplicative forms

Published 29 Nov 2019 in math.DG | (1911.13147v5)

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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