A coordinate-invariant scheme of geometrical quantization in the nondegenerate case and in the presence of constraints is proposed. No additional variables are introduced. In both cases, the explicit formula of associative *-multiplication of symbols is found. The operators are assigned to symbols and vice versa. A geometrically adequate version of canonical commutation relations in the nondegenerate case and their Dirac analogue in the presence of constraints are found. © 1990.
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