Lectures on the Geometry of Poisson Manifolds
Izu Vaisman
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Description for Lectures on the Geometry of Poisson Manifolds
Hardback. Suitable for graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, and quantum groups, this monograph helps to study basic and advanced material on the theory of Poisson manifolds. Series: Progress in Mathematics. Num Pages: 206 pages, biography. BIC Classification: PBM; PBP; PDE; TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 14. Weight in Grams: 1080.
Everybody having even the slightest interest in analytical mechanics remembers having met there the Poisson bracket of two functions of 2n variables (pi, qi) f g ~(8f8g 8 8 ) (0.1) {f,g} = L...~[ji - [ji~ ,;=1 p, q q p, and the fundamental role it plays in that field. In modern works, this bracket is derived from a symplectic structure, and it appears as one of the main in- gredients of symplectic manifolds. In fact, it can even be taken as the defining clement of the structure (e.g., [TIl]). But, the study of some mechanical sys- tems, particularly systems ... Read more
Everybody having even the slightest interest in analytical mechanics remembers having met there the Poisson bracket of two functions of 2n variables (pi, qi) f g ~(8f8g 8 8 ) (0.1) {f,g} = L...~[ji - [ji~ ,;=1 p, q q p, and the fundamental role it plays in that field. In modern works, this bracket is derived from a symplectic structure, and it appears as one of the main in- gredients of symplectic manifolds. In fact, it can even be taken as the defining clement of the structure (e.g., [TIl]). But, the study of some mechanical sys- tems, particularly systems ... Read more
Product Details
Format
Hardback
Publication date
1994
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
206
Condition
New
Series
Progress in Mathematics
Number of Pages
206
Place of Publication
Basel, Switzerland
ISBN
9783764350161
SKU
V9783764350161
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Lectures on the Geometry of Poisson Manifolds
"The book serves well as an introduction and an overview of the subject and a long list of references helps with further study."
Zbl. Math. "The book is well done...should be an essential purchase for mathematics libraries and is likely to be a standard reference for years to come, providing an introduction ... Read more
Zbl. Math. "The book is well done...should be an essential purchase for mathematics libraries and is likely to be a standard reference for years to come, providing an introduction ... Read more