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arxiv: nlin/0303014 · v3 · pith:BBJSIW3Tnew · submitted 2003-03-07 · 🌊 nlin.SI · math-ph· math.MP

Dirac reduction revisited

classification 🌊 nlin.SI math-phmath.MP
keywords constraintsdiracreductionprocedureclassificationdiscussedfirst-classgeneral
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The procedure of Dirac reduction of Poisson operators on submanifolds is discussed within a particularly useful special realization of the general Marsden-Ratiu reduction procedure. The Dirac classification of constraints on 'first-class' constraints and 'second-class' constraints is reexamined.

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