Embedding problems in symplectic geometry [[electronic resource] /] / by Felix Schlenk

• Autore: Schlenk Felix <1970->
• Pubblicazione: Berlin ; ; New York, : Walter de Gruyter, c2005
• Descrizione fisica: 1 online resource (260 p.)
• Disciplina: 516.3/6
• Soggetto topico: Symplectic geometry; Embeddings (Mathematics)
• 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.
• Titolo autorizzato: Embedding problems in symplectic geometry
• ISBN: 1-282-19481-X; 9786612194818; 3-11-915917-4; 3-11-019969-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910784289603321
• Lo trovi qui: Univ. Federico II
• Serie: Gruyter expositions in mathematics ; ; 40.