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Embedding Problems in Symplectic Geometry (De Gruyter Expositions in Mathematics, 40) - Hardcover

Buch 4 von 100: De Gruyter Expositions in Mathematics

Schlenk, Felix

 
9783110178760: Embedding Problems in Symplectic Geometry (De Gruyter Expositions in Mathematics, 40)
Hardcover
ISBN 10: 3110178761 ISBN 13: 9783110178760
Verlag: De Gruyter, 2005

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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

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Verlag
De Gruyter
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
3110178761
ISBN 13 
9783110178760
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
260
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