3 options
Hamiltonian Reduction by Stages / by Jerrold E. Marsden, Gerard Misiolek, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Marsden, Jerrold E., author.
- Misiolek, Gerard, author.
- Ortega, Juan Pablo, author.
- Perlmutter, Matthew, author.
- Rațiu, Tudor S., author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1913.
- Lecture Notes in Mathematics, 0075-8434 ; 1913
- Language:
- English
- Subjects (All):
- Differentiable dynamical systems.
- Global differential geometry.
- Dynamical Systems and Ergodic Theory.
- Differential Geometry.
- Theoretical, Mathematical and Computational Physics.
- Local Subjects:
- Dynamical Systems and Ergodic Theory.
- Differential Geometry.
- Theoretical, Mathematical and Computational Physics.
- Physical Description:
- 1 online resource (XV, 524 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540724704
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.