Embedding Problems in Symplectic Geometry

Language: English

Published by De Gruyter, DE, 2005

3110178761 / 9783110178760

Series: Book 4 of 100 - De Gruyter Expositions in Mathematics

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Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows. The spectacular rigidity phenomena for symplectic mappings discovered in the last two decades show that certain things cannot be done by a symplectic mapping. For instance, Gromov's famous "non-squeezing'' theorem states that one cannot map a ball into a thinner cylinder by a symplectic embedding. The aim of this book is to show that certain other things can be done by symplectic mappings. This is achieved by various elementary and explicit symplectic embedding constructions, such as "folding", "wrapping'', and "lifting''. These constructions are carried out in detail and are used to solve some specific symplectic embedding problems. The exposition is self-contained and addressed to students and researchers interested in geometry or dynamics.

Seller Inventory # LU-9783110178760

Title
Embedding Problems in Symplectic Geometry
Author
Felix Schlenk
Publisher
De Gruyter, DE
Publication year
2005
Condition
New
Binding
Hardback
Language
English
ISBN 10
3110178761
ISBN 13
9783110178760
Item weight
576 grams
Series
Book 4 of 100: De Gruyter Expositions in Mathematics

Rarewaves USA United

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