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Bibliographische Detailangaben
Titel:Lagrangian reduction by stages
Von: Hernán Cendra ; Jerrold E. Marsden ; Tudor S. Ratiu
Person: Cendra, Hernán
1943-
Verfasser
aut
Marsden, Jerrold E.
Ratiu, Tudor S.
1942-2010
1950-
Hauptverfassende: Cendra, Hernán 1943- (VerfasserIn), Marsden, Jerrold E. 1942-2010 (VerfasserIn), Ratiu, Tudor S. 1950- (VerfasserIn)
Format: Buch
Sprache:Englisch
Veröffentlicht: Providence, RI American Mathematical Society 2001
Schriftenreihe:Memoirs of the American Mathematical Society 722
Schlagworte:
Differenzierbare Mannigfaltigkeit - Lagrange-Bewegungsgleichungen
Variationsprinzip
Lagrange-Gleichungen
Differenzierbares dynamisches System
Online-Zugang:http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009485974&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:Volume 152, Number 722 (third of 5 numbers)
Beschreibung:IX, 108 S.
ISBN:0821827154
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Datensatz im Suchindex

DE-BY-TUM_call_number 0102 MAT 001z 2001 B 990-722
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adam_text Contents Chapter 1. Introduction 1 1.1. Background 1 1.2. The Main Results of This Paper. 3 1.3. Future Work and Related Issues. 4 Chapter 2. Preliminary Constructions 7 2.1. Notation and general assumptions. 7 2.2. Connections on Principal Bundles. 8 2.3. Associated Bundles. 10 2.4. The Bundles TQ/G and T(Q/G) 0 jj 14 Chapter 3. The Lagrange Poincare Equations 17 3.1. The Geometry of Variations 17 3.2. The Euler Lagrange and Euler Poincare Operators 21 3.3. The Lagrange Poincare Operator 28 3.4. The Reduced Variational Principle 34 Chapter 4. Wong s Equations and Coordinate Formulas 37 4.1. Wong s Equations 37 4.2. The Local Vertical and Horizontal Equations 38 Chapter 5. The Lie Algebra Structure on Sections of the Reduced Bundle 43 5.1. The Bundle T(Q/G) 0 0 Revisited 43 5.2. The Lie Algebra of Sections of T(Q/G) © 0 45 Chapter 6. Reduced Tangent Bundles 51 6.1. The Geometry of Lagrange Poincare Bundles 52 6.2. Reduction of Lagrange Poincare Bundles 61 6.3. Reduction by Stages of objects of £«P 71 6.4. The Subcategory WI and Reduction by Stages of Variational Principles on TQ. 78 Chapter 7. Further Examples 85 7.1. Semidirect Products 85 7.2. Central Extensions 86 7.3. Rigid Body with Rotors 88 7.4. Systems Depending on a Parameter 88 Chapter 8. The Category £*p* and Poisson Geometry 95 8.1. The Poisson Bracket on Duals of Objects of £ P 95 vii viii CONTENTS 8.2. Poisson Reduction in the Category £^3* Viewed as Dual to Reduction in the Category £ P 100 Bibliography 103
any_adam_object 1
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publishDate 2001
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series2 Memoirs of the American Mathematical Society
spellingShingle Cendra, Hernán 1943-
Marsden, Jerrold E. 1942-2010
Ratiu, Tudor S. 1950-
Lagrangian reduction by stages
Memoirs of the American Mathematical Society
Differenzierbare Mannigfaltigkeit - Lagrange-Bewegungsgleichungen
Variationsprinzip (DE-588)4062354-3 gnd
Lagrange-Gleichungen (DE-588)4166461-9 gnd
Differenzierbares dynamisches System (DE-588)4137931-7 gnd
subject_GND (DE-588)4062354-3
(DE-588)4166461-9
(DE-588)4137931-7
title Lagrangian reduction by stages
title_auth Lagrangian reduction by stages
title_exact_search Lagrangian reduction by stages
title_full Lagrangian reduction by stages Hernán Cendra ; Jerrold E. Marsden ; Tudor S. Ratiu
title_fullStr Lagrangian reduction by stages Hernán Cendra ; Jerrold E. Marsden ; Tudor S. Ratiu
title_full_unstemmed Lagrangian reduction by stages Hernán Cendra ; Jerrold E. Marsden ; Tudor S. Ratiu
title_short Lagrangian reduction by stages
title_sort lagrangian reduction by stages
topic Differenzierbare Mannigfaltigkeit - Lagrange-Bewegungsgleichungen
Variationsprinzip (DE-588)4062354-3 gnd
Lagrange-Gleichungen (DE-588)4166461-9 gnd
Differenzierbares dynamisches System (DE-588)4137931-7 gnd
topic_facet Differenzierbare Mannigfaltigkeit - Lagrange-Bewegungsgleichungen
Variationsprinzip
Lagrange-Gleichungen
Differenzierbares dynamisches System
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009485974&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV008000141
work_keys_str_mv AT cendrahernan lagrangianreductionbystages
AT marsdenjerrolde lagrangianreductionbystages
AT ratiutudors lagrangianreductionbystages
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