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Basic notions of Dirac theory of constrained systems have their analogs indifferential geometry. Combination of the two approaches gives more clearunderstanding of both classical and quantum mechanics, when we deal with amodel with complicated structure of constraints. In this work we describe anddiscuss the spin fiber bundle which appeared in various mechanical models wherespin is described by vector-like variable.

Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable