Symplectic Invariants and Hamiltonian Dynamics - Hofer, Helmut

Symplectic Invariants and Hamiltonian Dynamics

Helmut Hofer

Yayınevi: Birkhauser

Yayın tarihi: 08/1994

ISBN: 9783764350666

Yazar : Eduard Zehnder

Ciltli | İngilizce | 342 Sayfa | 155 mm x 234 mm

Tür: Matematik-İstatistik

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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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