In this chapter we formulate the first of several reduction by stages theorems in the regular, that is, free actions, case. We state a sufficient condition, called the stages hypothesis under which the two step reduced space is symplectically diffeomorphic to the space obtained by reducing all at once by the original group. In Chapters 11 and 12 we will come up with alternative conditions for reduction by stages based on the use of distribution theory.
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Regular Reduction by Stages. In: Hamiltonian Reduction by Stages. Lecture Notes in Mathematics, vol 1913. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72470-4_5
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DOI: https://doi.org/10.1007/978-3-540-72470-4_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72469-8
Online ISBN: 978-3-540-72470-4
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