Embedding Problems in Symplectic Geometry / / Felix Schlenk.
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 i...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2008] ©2005 |
Year of Publication: | 2008 |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
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Physical Description: | 1 online resource (250 p.) :; Num. figs. |
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Schlenk, Felix, author. aut http://id.loc.gov/vocabulary/relators/aut Embedding Problems in Symplectic Geometry / Felix Schlenk. Berlin ; Boston : De Gruyter, [2008] ©2005 1 online resource (250 p.) : Num. figs. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Expositions in Mathematics , 0938-6572 ; 40 Frontmatter -- Contents -- Introduction -- Proof of Theorem 1 -- Proof of Theorem 2 -- Multiple symplectic folding in four -- dimensions -- Symplectic folding in higher dimensions -- Proof of Theorem 3 -- Symplectic wrapping -- Proof of Theorem 4 -- Packing symplectic manifolds by hand -- Appendix -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Embeddings (Mathematics). Symplectic geometry. Geometrische Konstruktionen. Symplektische Geometrie. MATHEMATICS / General. bisacsh Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package 9783110494969 ZDB-23-EXM Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008 9783110212129 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008 9783110212136 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008 9783110209082 ZDB-23-DMN print 9783110178760 https://doi.org/10.1515/9783110199697 https://www.degruyter.com/isbn/9783110199697 Cover https://www.degruyter.com/document/cover/isbn/9783110199697/original |
language |
English |
format |
eBook |
author |
Schlenk, Felix, Schlenk, Felix, |
spellingShingle |
Schlenk, Felix, Schlenk, Felix, Embedding Problems in Symplectic Geometry / De Gruyter Expositions in Mathematics , Frontmatter -- Contents -- Introduction -- Proof of Theorem 1 -- Proof of Theorem 2 -- Multiple symplectic folding in four -- dimensions -- Symplectic folding in higher dimensions -- Proof of Theorem 3 -- Symplectic wrapping -- Proof of Theorem 4 -- Packing symplectic manifolds by hand -- Appendix -- Backmatter |
author_facet |
Schlenk, Felix, Schlenk, Felix, |
author_variant |
f s fs f s fs |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Schlenk, Felix, |
title |
Embedding Problems in Symplectic Geometry / |
title_full |
Embedding Problems in Symplectic Geometry / Felix Schlenk. |
title_fullStr |
Embedding Problems in Symplectic Geometry / Felix Schlenk. |
title_full_unstemmed |
Embedding Problems in Symplectic Geometry / Felix Schlenk. |
title_auth |
Embedding Problems in Symplectic Geometry / |
title_alt |
Frontmatter -- Contents -- Introduction -- Proof of Theorem 1 -- Proof of Theorem 2 -- Multiple symplectic folding in four -- dimensions -- Symplectic folding in higher dimensions -- Proof of Theorem 3 -- Symplectic wrapping -- Proof of Theorem 4 -- Packing symplectic manifolds by hand -- Appendix -- Backmatter |
title_new |
Embedding Problems in Symplectic Geometry / |
title_sort |
embedding problems in symplectic geometry / |
series |
De Gruyter Expositions in Mathematics , |
series2 |
De Gruyter Expositions in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2008 |
physical |
1 online resource (250 p.) : Num. figs. Issued also in print. |
contents |
Frontmatter -- Contents -- Introduction -- Proof of Theorem 1 -- Proof of Theorem 2 -- Multiple symplectic folding in four -- dimensions -- Symplectic folding in higher dimensions -- Proof of Theorem 3 -- Symplectic wrapping -- Proof of Theorem 4 -- Packing symplectic manifolds by hand -- Appendix -- Backmatter |
isbn |
9783110199697 9783110494969 9783110238570 9783110238471 9783110637205 9783110212129 9783110212136 9783110209082 9783110178760 |
issn |
0938-6572 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA665 |
callnumber-sort |
QA 3665 S35 42005EB |
url |
https://doi.org/10.1515/9783110199697 https://www.degruyter.com/isbn/9783110199697 https://www.degruyter.com/document/cover/isbn/9783110199697/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
516 - Geometry |
dewey-full |
516.3/6 |
dewey-sort |
3516.3 16 |
dewey-raw |
516.3/6 |
dewey-search |
516.3/6 |
doi_str_mv |
10.1515/9783110199697 |
oclc_num |
979583846 |
work_keys_str_mv |
AT schlenkfelix embeddingproblemsinsymplecticgeometry |
status_str |
n |
ids_txt_mv |
(DE-B1597)19796 (OCoLC)979583846 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008 Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008 |
is_hierarchy_title |
Embedding Problems in Symplectic Geometry / |
container_title |
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
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1770177435887730688 |
fullrecord |
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