Displaying similar documents to “On the Connections on the Prolongations of Principal Fibre Bundles”

The principal prolongation of first order G -structures

Slovák, Jan

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The author uses the concept of the first principal prolongation of an arbitrary principal filter bundle to develop an alternative procedure for constructing the prolongations of a class of the first-order G -structures. The motivation comes from the almost Hermitian structures, which can be defined either as standard first-order structures, or higher-order structures, but if they do not admit a torsion-free connection, the classical constructions fail in general.