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Hamiltonian Reduction by Stages

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...

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Bibliografiske detaljer
Main Authors: Marsden, Jerrold E. (Author, http://id.loc.gov/vocabulary/relators/aut), Misiolek, Gerard. (http://id.loc.gov/vocabulary/relators/aut), Ortega, Juan-Pablo. (http://id.loc.gov/vocabulary/relators/aut), Perlmutter, Matthew. (http://id.loc.gov/vocabulary/relators/aut), Ratiu, Tudor S. (http://id.loc.gov/vocabulary/relators/aut)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:English
Udgivet: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Udgivelse:1st ed. 2007.
Serier:Lecture Notes in Mathematics, 1913
Fag:
Dynamics.
Ergodic theory.
Differential geometry.
Mathematical physics.
Dynamical Systems and Ergodic Theory.
Differential Geometry.
Theoretical, Mathematical and Computational Physics.
Online adgang:https://doi.org/10.1007/978-3-540-72470-4
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Indholdsfortegnelse:
  • 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.

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