Andere Kunden interessierten sich auch für
![Riemannian Geometry and Geometric Analysis]( "Riemannian Geometry and Geometric Analysis")
Riemannian Geometry and Geometric Analysis67,99 €![Torus Actions on Symplectic Manifolds]( "Torus Actions on Symplectic Manifolds")
Torus Actions on Symplectic Manifolds95,99 €![Introduction to Symplectic Dirac Operators]( "Introduction to Symplectic Dirac Operators")
Introduction to Symplectic Dirac Operators27,99 €![An Introduction to Compactness Results in Symplectic Field Theory]( "An Introduction to Compactness Results in Symplectic Field Theory")
An Introduction to Compactness Results in Symplectic Field Theory81,99 €![Symplectic Geometry]( "Symplectic Geometry")
Symplectic Geometry170,99 €![The Breadth of Symplectic and Poisson Geometry]( "The Breadth of Symplectic and Poisson Geometry")
The Breadth of Symplectic and Poisson Geometry189,50 €![Symplectic Geometry]( "Symplectic Geometry")
Symplectic Geometry170,99 €
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: 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 action principle, a bi-invariant metric on the symplectic diffeomorphism group and its geometry, symplectic fixed point theory, the Arnold conjectures and first order elliptic systems, and finally a survey on Floer homology and symplectic homology.
The exposition is self-contained and addressed to researchers and students from the graduate level onwards.
The exposition is self-contained and addressed to researchers and students from the graduate level onwards.
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)
"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)