On the holonomity of higher order connections
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.
Holonomní vazba a pohybově rovnice v Minkowského mechanice
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 ....
Non-holonomic connections on vector bundles. I
Non-holonomic connections on vector bundles, II
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
Pseudo-unitary spaces
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