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035   $a(DE-B1597)9783110199697
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100   $a20050111d2005      uy             0
101 0 $aeng
135   $aurnn#---|u||u
181   $ctxt
182   $cc
183   $acr
200 10$aEmbedding problems in symplectic geometry$b[electronic resource] /$fby Felix Schlenk
210   $aBerlin ;$aNew York $cWalter de Gruyter$dc2005
215   $a1 online resource (260 p.)
225 1 $aDe Gruyter expositions in mathematics ;$v40
300   $aDescription based upon print version of record.
311 0 $a3-11-017876-1 
320   $aIncludes bibliographical references (p. 241-246) and index.
327   $tFront matter --$tContents --$tIntroduction --$tProof of Theorem 1 --$tProof of Theorem 2 --$tMultiple symplectic folding in four dimensions --$tSymplectic folding in higher dimensions --$tProof of Theorem 3 --$tSymplectic wrapping --$tProof of Theorem 4 --$tPacking symplectic manifolds by hand --$tAppendix --$tBackmatter
330   $aSymplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows. The spectacular rigidity phenomena for symplectic mappings discovered in the last two decades show that certain things cannot be done by a symplectic mapping. For instance, Gromov's famous ""non-squeezing'' theorem states that one cannot map a ball into a thinner cylinder by a symplectic embedding. The aim of this book is to show that certain other things can be done by symplectic mappings. This is achieved by various elementary and explicit symplectic embedding.
410  0$aGruyter expositions in mathematics ;$v40.
606   $aSymplectic geometry
606   $aEmbeddings (Mathematics)
608   $aElectronic books.
615  0$aSymplectic geometry.
615  0$aEmbeddings (Mathematics)
676   $a516.3/6
700   $aSchlenk$b Felix$f1970-$01028249
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910451251003321
996   $aEmbedding problems in symplectic geometry$92444179
997   $aUNINA