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An Extension of the Marsden–Ratiu Reduction for Poisson Manifolds

✍ Scribed by Fernando Falceto; Marco Zambon

Publisher
Springer
Year
2008
Tongue
English
Weight
227 KB
Volume
85
Category
Article
ISSN
0377-9017

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📜 SIMILAR VOLUMES

Reduction of Poisson manifolds
Reduction of Poisson manifolds
✍ Jerrold E. Marsden; Tudor Ratiu 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 447 KB

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.

An Extension of the Bivariate Method of
An Extension of the Bivariate Method of Polynomials and a Reduction Formula for Bonferroni-Type Inequalities
✍ Italo Simonelli 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 102 KB

be two sequences of events, and let & N (A) and & M (B) be the number of those A i and B j , respectively, that occur. We prove that Bonferroni-type inequalities for P(& N (A) u, & M (B) v), where u and v are positive integers, are valid if and only if they are valid for a two dimensional triangular