02942nam 22006734a 450 991045125100332120210615000027.01-282-19481-X97866121948183-11-915917-43-11-019969-610.1515/9783110199697(CKB)1000000000335189(EBL)280154(OCoLC)476023234(SSID)ssj0000145690(PQKBManifestationID)11164784(PQKBTitleCode)TC0000145690(PQKBWorkID)10157696(PQKB)11371080(MiAaPQ)EBC280154(DE-B1597)19796(OCoLC)979583846(DE-B1597)9783110199697(Au-PeEL)EBL280154(CaPaEBR)ebr10154760(CaONFJC)MIL219481(OCoLC)228143910(EXLCZ)99100000000033518920050111d2005 uy 0engurnn#---|u||utxtccrEmbedding problems in symplectic geometry[electronic resource] /by Felix SchlenkBerlin ;New York Walter de Gruyterc20051 online resource (260 p.)De Gruyter expositions in mathematics ;40Description based upon print version of record.3-11-017876-1 Includes bibliographical references (p. 241-246) and index.Front matter --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 --BackmatterSymplectic 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.Gruyter expositions in mathematics ;40.Symplectic geometryEmbeddings (Mathematics)Electronic books.Symplectic geometry.Embeddings (Mathematics)516.3/6Schlenk Felix1970-1028249MiAaPQMiAaPQMiAaPQBOOK9910451251003321Embedding problems in symplectic geometry2444179UNINA