Embedding Problems In Symplectic Geometry - Couverture rigide

Schlenk, Felix

Couverture rigide

ISBN 10 : 3110178761 ISBN 13 : 9783110178760

Editeur : De Gruyter, 2005

Synopsis

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.

A propos du livre

À propos de l'auteur

Felix Schlenk is Postdoc at the Department of Mathematics of Leipzig University, Leipzig, Germany.

Détails de l'édition

• Éditeur: De Gruyter
• Date d'édition: 2005
• Langue: anglais
• ISBN 10: 3110178761
• ISBN 13: 9783110178760
• Reliure: Relié
• Nombre de pages: 260
• Coordonnées du fabricant: Walter de Gruyter GmbH; productsafety@degruyterbrill.com; ; Genthiner Straße 13; Berlin; 10785; Allemagne