|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910826303403321 |
|
|
Autore |
Schlenk Felix <1970-> |
|
|
Titolo |
Embedding problems in symplectic geometry / / by Felix Schlenk |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin ; ; New York, : Walter de Gruyter, c2005 |
|
|
|
|
|
|
|
ISBN |
|
1-282-19481-X |
9786612194818 |
3-11-915917-4 |
3-11-019969-6 |
|
|
|
|
|
|
|
|
Edizione |
[1st ed.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (260 p.) |
|
|
|
|
|
|
Collana |
|
De Gruyter expositions in mathematics ; ; 40 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Symplectic geometry |
Embeddings (Mathematics) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (p. 241-246) and index. |
|
|
|
|
|
|
Nota di contenuto |
|
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 -- Backmatter |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
|
|