2 papers
math.DG2026
The Cartan-Kähler theorem for exterior differential systems on transitive Lie algebroids
Sonja Hohloch, Tom Mestdag, Kenzo Yasaka
The notion of an exterior differential system (on a manifold) has recently been extended to the setting of a Lie algebroid. Here, we further develop the theory and we present two v…
math.DG2025
Exterior differential systems on Lie algebroids and the invariant inverse problem of the calculus of variations
Tom Mestdag, Kenzo Yasaka
We extend the theory of exterior differential systems from manifolds and their tangent bundles to Lie algebroids. In particular, we define the concept of an integral manifold of su…