48 citations · 428 across the 48 of their papers we have counts for
3 papers · 2 filters
Higher order mechanics on graded bundles
Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski
In this paper we develop a geometric approach to higher order mechanics on graded bundles in both, the Lagrangian and Hamiltonian formalism, via the recently discovered weighted al…
Linear duals of graded bundles and higher analogues of (Lie) algebroids
Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski
Graded bundles are a class of graded manifolds which represent a natural generalisation of vector bundles and include the higher order tangent bundles as canonical examples. We pre…
On curves and jets of curves and on supermanifolds
Andrew James Bruce
In this note we examine a natural concept of a curve on a supermanifold and the subsequent notion of the jet of a curve. We then tackle the question of geometrically defining the h…