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.
• Φυσική περιγραφή: XV, 524 p. online resource.
• ISBN: 9783540724704
• ISSN: 0075-8434 ;

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 Bott-Virasoro group and other groups of matrices. Ample background theory on symplectic reduction and cotangent bundle reduction in particular is provided. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages.