✦ LIBER ✦

Reduction of Poisson manifolds

✍ Scribed by Jerrold E. Marsden; Tudor Ratiu

Publisher: Springer
Year: 1986
Tongue: English
Weight: 447 KB
Volume: 11
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00398428

No coin nor oath required. For personal study only.

✦ Synopsis

Reduction in the category of Poisson manifolds is defined and some basic properties are derived. The context is chosen to include the usual theorems on reduction of symplectic manifolds, as well as results such as the Dirac bracket and the reduction to the Lie-Poisson bracket.

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