4 papers
Pseudogroups of symmetries and Morita equivalences
Luca Accornero, Francesco Cattafi
This work is a spin-off of an on-going programme which aims at revisiting the original studies of Lie and Cartan on pseudogroups and geometric structures from a modern perspective.…
A groupoid approach to transitive differential geometry
Luca Accornero, Francesco Cattafi
This work is a spin-off of an on-going programme which aims at revisiting the original studies of Lie and Cartan on pseudogroups and geometric structures from a modern perspective.…
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…
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…