Induced connections on total spaces of fiber bundles

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Authors	KOLÁŘ Ivan
Year of publication	2010
Type	Article in Periodical
Magazine / Source	International Journal of Geometric Methods in Modern Physics
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	connection; vertical parallelism; geodesic; torsion; covariant differential
Description	We present a construction transforming a general connection on a fibered manifold Y over M and a classical conection on M into a classical connection on Y by means of a vertical parellelism and an auxiliary linear connection. The relations to the theory of gauge-natural operators are discussed.
Related projects:	Mathematical structures and their physical applications Global analysis and the geometry of fibred spaces