On the holonomity of higher order connections
Non-holonomic connections on vector bundles, II
Non-holonomic connections on vector bundles. I
A generalized point of view to higher order connections on fibre bundles
Concerning Connections on Associated Bundles
The Representation of Inertial Particles in the Lie Algebra of the Lorentz Group
Holonomní vazba a pohybově rovnice v Minkowského mechanice
Higher order Cartan connections
A Cartan connection associated with a pair is defined in the usual manner except that only the injectivity of is required. For an -th order connection associated with a bundle morphism the concept of Cartan order is defined, which for , and coincides with the classical definition. Results are obtained concerning the Cartan order of -th order connections that are the product of first order (Cartan) connections.
Total connections in Lie groupoids
A total connection of order in a Lie groupoid over is defined as a first order connections in the -st jet prolongations of . A connection in the groupoid together with a linear connection on its base, ie. in the groupoid , give rise to a total connection of order , which is called simple. It is shown that this simple connection is curvature-free iff the generating connections are. Also, an -th order total connection in defines a total reduction of the -th prolongation of to ....
Pseudo-unitary spaces
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