Hamiltonian Reduction by Stages / / by Jerrold E. Marsden, Gerard Misiolek, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu

• Autore: Marsden Jerrold E
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2007
• Edizione: 1st ed. 2007.
• Descrizione fisica: 1 online resource (526 p.)
• Disciplina: 514/.74
• Soggetto topico: Dynamics; Ergodic theory; Geometry, Differential; Mathematical physics; Dynamical Systems and Ergodic Theory; Differential Geometry; Theoretical, Mathematical and Computational Physics
• Persona (resp. second.): MisiolekGerard; OrtegaJuan-Pablo; PerlmutterMatthew; RatiuTudor S
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (pages [483]-508) and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Hamiltonian reduction by stages
• ISBN: 9786610937141; 9781280937149; 1280937149; 9783540724704; 3540724702
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910484477503321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1913