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Embedding Problems in Symplectic Geometry

AUTHOR Schlenk, Felix
PUBLISHER de Gruyter (04/18/2005)
PRODUCT TYPE Hardcover (Hardcover)

Description

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.

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Product Details
ISBN-13: 9783110178760
ISBN-10: 3110178761
Binding: Hardback or Cased Book (Sewn)
Content Language: English
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Page Count: 260
Carton Quantity: 9
Product Dimensions: 6.94 x 0.76 x 9.80 inches
Weight: 1.27 pound(s)
Feature Codes: Bibliography, Index
Country of Origin: DE
Subject Information
BISAC Categories
Mathematics | Geometry - Differential
Grade Level: Post Graduate - Post Graduate
Dewey Decimal: 516.36
Library of Congress Control Number: 2005000895
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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.

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Your Price  $336.60
Hardcover