Symplectic Invariants and Hamiltonian Dynamics (Birkhauser Advanced Texts)

Hofer, Helmut; Zehnder, Eduard

ISBN 10: 0817650660 / ISBN 13: 9780817650667

Published by Springer Verlag, 1994

About this Item

Hardcover in overall good shape with general wear. Bindings firm and square. clean throughout.

Seller Inventory # 100882

Bibliographic Details

• Title: Symplectic Invariants and Hamiltonian Dynamics (Birkhauser Advanced Texts)
• Publisher: Springer Verlag
• Publication Date: 1994
• Language: English
• ISBN 10: 0817650660
• ISBN 13: 9780817650667
• Binding: Hardcover
• Condition: Very Good

About this title

Synopsis

The discoveries of the last decade have shed new light on the old field of Hamiltonian systems and have led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic mappings is very different from that of volume preserving mappings. This raises new questions, many of them still unanswered. On the other hand, analysis of an old variational principle in classical mechanics has established global periodic phenomena in Hamiltonian systems. As it turns out, these seemingly different phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants are the main theme of this book, which includes such topics as basic symplectic geometry, symplectic capacities and rigidity, periodic orbits for Hamiltonian systems and the least action principle, a bi-invariant metric on the symplectic diffeomorphism group and its geometry, symplectic fixed point theory and first order elliptic systems, the Arnold conjectures and a survey on Floer- and symplectic homology. The exposition is self-contained and addressed to researchers and students from the graduate level onwards.

About the Author

Helmut Hofer is Professor at the Institute for Advanced Study in Princeton, New Jersey, USA.

Eduard Zehnder is emeritus Professor of ETH Zürich, Switzerland.