UID:
almahu_9949462250302882
Format:
1 online resource (250 p.) :
,
Num. figs.
ISBN:
9783110199697
,
9783110494969
Series Statement:
De Gruyter Expositions in Mathematics , 40
Content:
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.
Note:
Frontmatter --
,
Contents --
,
Introduction --
,
Proof of Theorem 1 --
,
Proof of Theorem 2 --
,
Multiple symplectic folding in four --
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dimensions --
,
Symplectic folding in higher dimensions --
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Proof of Theorem 3 --
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Symplectic wrapping --
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Proof of Theorem 4 --
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Packing symplectic manifolds by hand --
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Appendix --
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Backmatter
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Issued also in print.
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Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Expositions in Mathematics Backlist eBook Package, De Gruyter, 9783110494969
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008, De Gruyter, 9783110212129
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008, De Gruyter, 9783110212136
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008, De Gruyter, 9783110209082
Additional Edition:
ISBN 9783110178760
Language:
English
DOI:
10.1515/9783110199697
URL:
https://doi.org/10.1515/9783110199697
URL:
https://www.degruyter.com/isbn/9783110199697
