Hamiltonian Reduction by Stages

• Κύριοι συγγραφείς: Marsden, Jerrold E. (Συγγραφέας), Misiolek, Gerard (Συγγραφέας), Ortega, Juan-Pablo (Συγγραφέας), Perlmutter, Matthew (Συγγραφέας), Ratiu, Tudor S. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Σειρά: Lecture Notes in Mathematics, 1913
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Differential geometry.; Physics.; Dynamical Systems and Ergodic Theory.; Differential Geometry.; Theoretical, Mathematical and Computational Physics.

In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special emphasis is given to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bo...

Πίνακας περιεχομένων:

• Background and the Problem Setting
• Symplectic Reduction
• Cotangent Bundle Reduction
• The Problem Setting
• Regular Symplectic Reduction by Stages
• Commuting Reduction and Semidirect Product Theory
• Regular Reduction by Stages
• Group Extensions and the Stages Hypothesis
• Magnetic Cotangent Bundle Reduction
• Stages and Coadjoint Orbits of Central Extensions
• Examples
• Stages and Semidirect Products with Cocycles
• Reduction by Stages via Symplectic Distributions
• Reduction by Stages with Topological Conditions
• Optimal Reduction and Singular Reduction by Stages, by Juan-Pablo Ortega
• The Optimal Momentum Map and Point Reduction
• Optimal Orbit Reduction
• Optimal Reduction by Stages.