Displaying similar documents to “On the holonomity of higher order connections”

Total connections in Lie groupoids

Juraj Virsik (1995)

Archivum Mathematicum

Similarity:

A total connection of order r in a Lie groupoid Φ over M is defined as a first order connections in the ( r - 1 ) -st jet prolongations of Φ . A connection in the groupoid Φ together with a linear connection on its base, ie. in the groupoid Π ( M ) , give rise to a total connection of order r , which is called simple. It is shown that this simple connection is curvature-free iff the generating connections are. Also, an r -th order total connection in Φ defines a total reduction of the r -th prolongation...