On prolongation of higher order connections
Tom 102 / 2011
Annales Polonici Mathematici 102 (2011), 279-292
MSC: 58A05, 58A20.
DOI: 10.4064/ap102-3-7
Streszczenie
We describe all bundle functors $G$ admitting natural operators transforming $r$th order holonomic connections on a fibered manifold $Y\to M$ into $r$th order holonomic connections on $GY\to M$. For second order holonomic connections we classify all such natural operators.