Jerrold E. Marsden, Gerard Misiolek, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu

eBook, PDF

Hamiltonian Reduction by Stages (eBook, PDF)

Beschreibung

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.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 4.59MB

Barrierefreiheit

• Text-to-Speech

Autor

Jerrold E. Marsden, California Institute of Technology, Pasadena, CA, USA / Gerard Misiolek, University of Notre Dame, IN, USA / Juan-Pablo Ortega, Université de Franche-Comté, Besançon, France / Matthew Perlmutter, Massey University, Palmerston North, New Zealand / Tudor S. Ratiu, École Polytechnique Fédérale de Lausanne, Switzerland

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 524
• Erscheinungstermin: 5. Juni 2007
• Englisch
• ISBN-13: 9783540724704
• Artikelnr.: 44131829

Rezensionen

From the reviews:

"For the first time in the literature, this book presents a detailed account of the theory of reduction by stages of Hamiltonian systems with symmetries. ... It is therefore a useful tool in computing reduced spaces and the authors illustrate it with many physical examples. ... The necessary background in symplectic reduction and the numerous examples which are provided make this book interesting for people new to the field, as well as for specialists." (Oana M. Dragulete, Mathematical Reviews, Issue 2008 i)