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math.DG2019
Cartan geometries and multiplicative forms
Francesco Cattafi
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 u…
math.DG2019
From PDEs to Pfaffian fibrations
Francesco Cattafi, Marius Crainic, Maria Amelia Salazar
We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object called Pfaffian fibration. We provide motivations to study this new notion and show…