On curves and jets of curves and on supermanifolds
  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 higher order tangent bundles of a supermanifold. Finally we make a quick comparison with the notion of a curve presented here are other common notions found in the literature. 
Andrew James Bruce
math-ph math.AG math.DG math.MP