Umfang:
Online-Ressource (XV, 519 p, digital)
ISBN:
9783540724704
Serie:
SpringerLink
Inhalt:
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.
Inhalt:
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.
Anmerkung:
Includes bibliographical references (p. [483]-508) and index
Weitere Ausg.:
ISBN 9783540724698
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9783540838210
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9783540724698
Sprache:
Englisch
Fachgebiete:
Physik
,
Mathematik
Schlagwort(e):
Hamiltonsches System
;
Ordnungsreduktion
;
Symplektische Geometrie
DOI:
10.1007/978-3-540-72470-4
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Marsden, Jerrold E. 1942-2010
Bookmarklink
