3 papers
math.DG2025
Notes on relative algebroids
Wilmer Smilde
Relative algebroids provide a framework that unifies Lie algebroids with partial differential equations. In this set of notes, we explain how relative algebroids arise from geometr…
math.DG2025
Relative algebroids and symmetries of Pfaffian fibrations
Wilmer Smilde
Relative algebroids and Pfaffian fibrations are two frameworks recently developed to study geometric structures and PDEs with symmetries, but have structurally different foundation…
math.DG2025
Relative algebroids and Cartan realization problems
Rui Loja Fernandes, Wilmer Smilde
We develop a new framework of relative algebroids to address existence and classification problems of geometric structures subject to partial differential equations.