Symplectic Invariants and Hamiltonian Dynamics (Birkhäuser Advanced Texts Basler Lehrbücher)

Hofer, Helmut und Eduard Zehnder:

ISBN 10: 3764350660 / ISBN 13: 9783764350666

Published by Birkhäuser Verlag, 1994

About this Item

346 Seiten; 9783764350666.3 Gewicht in Gramm: 1. Seller Inventory # 797879

Bibliographic Details

Title: Symplectic Invariants and Hamiltonian ...

Publisher: Birkhäuser Verlag

Publication Date: 1994

Binding: hardcover

Condition: Gut

About this title

Synopsis:

The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: sympletic topology. Surprising rigidity phenomena demonstrate that the nature of sympletic mappings is very different from that of volume preserving mappings. On the other hand, analysis of an old variational principle in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of sympletic invariants, called sympletic capacities. These invariants are the main theme of this book, which includes such topics as basic sympletic geometry, sympletic capacities and rigidity, periodic orbits for Hamiltonian systems and the action principle, a bi-invariant metric on the sympletic diffeomorphism group and its geometry, sympletic fixed point theory, the Arnold conjectures and first order elliptic systems, and finally a survey on Floer homology and sympletic homology.

Review:

From the reviews:

“Symplectic Invariants and Hamiltonian Dynamics is obviously a work of central importance in the field and is required reading for all would-be players in this game. Happily, it is very well written and sports a lot of very useful commentary by the authors; the sections introducing the individual chapters are particularly well done ... . It is all fine scholarship in an exciting and fertile area.” (Michael Berg, The Mathematical Association of America, June, 2011)