Symplectic Invariants and Hamiltonian Dynamics (Birkhauser Advanced Texts / Basler Lehrbucher) - Hardcover

Hofer, Helmut; Zehnder, Eduard

Hardcover

ISBN 10: 3764350660 ISBN 13: 9783764350666

Verlag: Birkhauser Verlag AG, 1994

Inhaltsangabe

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.

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Reseña del editor

Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of sympletic invariants, called sympletic capacities, and these invariants are the main theme of this book. Topics covered include basic sympletic geometry, sympletic capacities and rigidity, sympletic fixed point theory, and a survey on Floer homology and sympletic homology.

Details zur Ausgabe

• Verlag: Birkhauser Verlag AG
• Erscheinungsdatum: 1994
• ISBN 10: 3764350660
• ISBN 13: 9783764350666
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 356
• Kontakt zum Hersteller: Nicht verfügbar