The Dirac Theory of Constraints, the Gotay-Nester Theory and Poisson Geometry

Details The Dirac Theory of Constraints, the Gotay-Nester Theory and Poisson Geometry The Dirac Theory of Constraints, the Gotay-Nester Theory and Poisson Geometry

2011-06-16

arxiv.org/abs/1106.3354v1

Physics

Mathematical Physics

37 pages

Scientific paper

We present a study of the Dirac theory of constraints emphasizing the duality
between the Poisson-algebraic and the geometric points of view, related
respectively to the work of Dirac and of Gotay and Nester. The global notion of
second class submanifold as being tangent to a second class subbundle is
studied and equations of motion are written.

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