Close
Enter your search into one or more of the boxes below:
You can refine your search by selecting from any of the options below:
Search
Lectures on the Geometry of Poisson Manifolds

Lectures on the Geometry of Poisson Manifolds (Paperback)

£90.00
Printed to order. Despatched in 2-3 weeks.
Email me when back in stock

Synopsis

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 with symmetry groups or constraints, may lead to more general Poisson brackets. Therefore, it was natural to define a mathematical structure where the notion of a Poisson bracket would be the primary notion of the theory, and, from this viewpoint, such a theory has been developed since the early 19708, by A. Lichnerowicz, A. Weinstein, and many other authors (see the references at the end of the book). But, it has been remarked by Weinstein [We3] that, in fact, the theory can be traced back to S. Lie himself [Lie].

Science & MathematicsMathematicsGeometryAnalytic geometryScience & MathematicsMathematicsGeometryDifferential & Riemannian geometryScience & MathematicsMathematicsTopologyScience & MathematicsPhysicsMathematical physics Publisher: Springer Basel Publication Date: 01/03/1994 ISBN-13: 9783034896498  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

More books by Izu Vaisman

Leave Review

Delivery

Delivery Options

All delivery times quoted are the average, and cannot be guaranteed. These should be added to the availability message time, to determine when the goods will arrive. During checkout we will give you a cumulative estimated date for delivery.

Location 1st Book Each additional book Average Delivery Time
UK Second Class Available free for ALL orders. No charge for each additional book. 3-7 Days
UK First Class £4.50 £1.00 1-2 Days
UK Courier £7.00 £1.00 1-2 Days
Western Europe** Courier £17.00 £3.00 2-3 Days
Western Europe** Airmail £5.00 £1.50 4-14 Days
USA / Canada Courier £20.00 £3.00 2-4 Days
USA / Canada Airmail £7.00 £3.00 4-14 Days
Rest of World Courier £22.50 £3.00 3-6 Days
Rest of World Airmail £8.00 £3.00 7-21 Days

** Includes Austria, Belgium, Denmark, France, Germany, Greece, Iceland, Irish Republic, Italy, Luxembourg, Netherlands, Portugal, Spain, Sweden and Switzerland.

Delivery Help & FAQs

Returns Information

If you are not completely satisfied with your purchase*, you may return it to us in its original condition with in 30 days of receiving your delivery or collection notification email for a refund. Except for damaged items or delivery issues the cost of return postage is borne by the buyer. Your statutory rights are not affected.

* For Exclusions and terms on damaged or delivery issues see Returns Help & FAQs

You might also like

Spectral Geometry Of The Laplacian:...
(Hardback)
Hajime Urakawa
 
 
£98.00
 
Geometry and Dynamics in Gromov...
(Hardback)
Mariusz Urbanski
 
£108.00
£115.00
 
Applications of Polyfold Theory I: ...
(Paperback)
H. Hofer; K. Wysocki; E. Zehnder
 
 
£72.50
 
Differential Geometry: Connections,...
(Hardback)
Loring W. Tu
 
 
£49.99
 
Latest Blog
Caroline Taggart on Why Punctuation Can be Surprisingly Exciting
18/10/2017

Caroline Taggart explains the versatility of punctuation.

Under the Knife: Recreating the Grimy World of Victorian Surgery
17/10/2017

Lindsey describes how she made the trailer for her debut The Butchering Art in order to see how the sights, sounds, and smells of this gruesome period in medical history would translate onto the screen.

The Sky Doesn't Have to be Blue: Steve Antony on Life as a Colour Blind Illustrator
13/10/2017

Steve explains what it's like to be a colour blind illustrator and why the sky doesn't have to be blue.

View all Blog Entries
Twitter
Show/Hide Tweets
© W&G Foyle Ltd