Embedding Problems in Symplectic Geometry

Автор: Felix Schlenk

Език:

Корици: С твърди корици

Издател: De Gruyter

Наличност: Външен склад

Изпращаме след 10-13 дни

212.42 € 415.46 лв

Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise a...

Информация за книгата

Автор

Felix Schlenk

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2005

страници

260

EAN

9783110178760

ISBN

3110178761

Enbook ID

12565207

Издател

De Gruyter

Теглоt

576

Размери

170 x 240 x 20

Пълно описание

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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Embedding Problems in Symplectic Geometry

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