Embedding Problems in Symplectic Geometry
(Sprache: Englisch)
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...
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Klappentext zu „Embedding Problems in Symplectic Geometry “
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.
Autoren-Porträt von Felix Schlenk
< Felix Schlenk is Postdoc at the Department of Mathematics of Leipzig University, Leipzig, Germany.
Bibliographische Angaben
- Autor: Felix Schlenk
- 2005, 260 Seiten, mit Abbildungen, Masse: 17 x 24 cm, Gebunden, Englisch
- Verlag: De Gruyter
- ISBN-10: 3110178761
- ISBN-13: 9783110178760
Sprache:
Englisch
Pressezitat
"This book based on the Ph.D. thesis of the author may serve as a very good introduction to symplectic rigidity and symplectic embeddings."Iskander A. Taimanov in: Zentralblatt für Mathematik 24/2005
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