2 papers
math.DG2026
A category of locally convex Lie algebroids
Ahmed Gamal Shaltut
We study first-order locally convex Lie algebroids in the setting of Bastiani calculus. The first-order condition is automatic in finite dimensions, but is an additional regularity…
math.DG2025
Invariance of subbundles and nonholonomic trajectories
Andrew D. Lewis, Ahmed Gamal Shaltut
In the comparison of nonholonomic mechanics and constrained variational mechanics, invariant affine subbundles arise in the determination of the initial conditions where the two me…