Introduction to global variational geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Paris
Atlantis Press
2015
|
| Series: | Atlantis Studies in Variational Geometry
1 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XVII, 354 S.) |
| ISBN: | 9789462390737 |
| ISSN: | 2214-0700 |
| DOI: | 10.2991/978-94-6239-073-7 |
Staff View
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Record in the Search Index
| _version_ | 1804152928627326976 |
|---|---|
| adam_text | INTRODUCTION TO GLOBAL VARIATIONAL GEOMETRY
/ KRUPKA, DEMETER
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
JET PROLONGATIONS OF FIBRED MANIFOLDS
DIFFERENTIAL FORMS ON JET PROLONGATIONS OF FIBRED MANIFOLDS
FORMAL DIVERGENCE EQUATIONS
VARIATIONAL STRUCTURES
INVARIANT VARIATIONAL STRUCTURES
EXAMPLES: NATURAL LAGRANGE STRUCTURES
ELEMENTARY SHEAF THEORY
VARIATIONAL SEQUENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INTRODUCTION TO GLOBAL VARIATIONAL GEOMETRY
/ KRUPKA, DEMETER
: 2015
ABSTRACT / INHALTSTEXT
THE BOOK IS DEVOTED TO RECENT RESEARCH IN THE GLOBAL VARIATIONAL THEORY
ON SMOOTH MANIFOLDS. ITS MAIN OBJECTIVE IS AN EXTENSION OF THE CLASSICAL
VARIATIONAL CALCULUS ON EUCLIDEAN SPACES TO (TOPOLOGICALLY NONTRIVIAL)
FINITE-DIMENSIONAL SMOOTH MANIFOLDS; TO THIS PURPOSE THE METHODS OF
GLOBAL ANALYSIS OF DIFFERENTIAL FORMS ARE USED. EMPHASIS IS PLACED ON
THE FOUNDATIONS OF THE THEORY OF VARIATIONAL FUNCTIONALS ON FIBERED
MANIFOLDS - RELEVANT GEOMETRIC STRUCTURES FOR VARIATIONAL PRINCIPLES IN
GEOMETRY, PHYSICAL FIELD THEORY AND HIGHER-ORDER FIBERED MECHANICS. THE
BOOK CHAPTERS INCLUDE: - FOUNDATIONS OF JET BUNDLES AND ANALYSIS OF
DIFFERENTIAL FORMS AND VECTOR FIELDS ON JET BUNDLES, - THE THEORY OF
HIGHER-ORDER INTEGRAL VARIATIONAL FUNCTIONALS FOR SECTIONS OF A FIBRED
SPACE, THE (GLOBAL) FIRST VARIATIONAL FORMULA IN INFINITESIMAL AND
INTEGRAL FORMS- EXTREMAL CONDITIONS AND THE DISCUSSION OF NOETHER
SYMMETRIES AND GENERALIZATIONS,- THE INVERSE PROBLEMS OF THE CALCULUS OF
VARIATIONS OF HELMHOLTZ TYPE- VARIATIONAL SEQUENCE THEORY AND ITS
CONSEQUENCES FOR THE GLOBAL INVERSE PROBLEM (COHOMOLOGY CONDITIONS)-
EXAMPLES OF VARIATIONAL FUNCTIONALS OF MATHEMATICAL PHYSICS. COMPLETE
FORMULATIONS AND PROOFS OF ALL BASIC ASSERTIONS ARE GIVEN, BASED ON
THEOREMS OF GLOBAL ANALYSIS EXPLAINED IN THE APPENDIX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Krupka, Demeter 1942- |
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| author_role | aut |
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| author_variant | d k dk |
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| dewey-ones | 514 - Topology |
| dewey-raw | 514.74 |
| dewey-search | 514.74 |
| dewey-sort | 3514.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.2991/978-94-6239-073-7 |
| format | Electronic eBook |
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| isbn | 9789462390737 |
| issn | 2214-0700 |
| language | English |
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| spelling | Krupka, Demeter 1942- Verfasser (DE-588)141633042 aut Introduction to global variational geometry Demeter Krupka Paris Atlantis Press 2015 1 Online-Ressource (XVII, 354 S.) txt rdacontent c rdamedia cr rdacarrier Atlantis studies in variational geometry 1 2214-0700 Mathematics Global analysis Global differential geometry Mathematical optimization Global Analysis and Analysis on Manifolds Differential Geometry Calculus of Variations and Optimal Control; Optimization Theoretical, Mathematical and Computational Physics Classical and Quantum Gravitation, Relativity Theory Mathematik Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s DE-604 Erscheint auch als Druckausgabe 978-94-6239-072-0 Atlantis Studies in Variational Geometry 1 (DE-604)BV042324060 1 https://doi.org/10.2991/978-94-6239-073-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763242&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763242&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Krupka, Demeter 1942- Introduction to global variational geometry Atlantis Studies in Variational Geometry Mathematics Global analysis Global differential geometry Mathematical optimization Global Analysis and Analysis on Manifolds Differential Geometry Calculus of Variations and Optimal Control; Optimization Theoretical, Mathematical and Computational Physics Classical and Quantum Gravitation, Relativity Theory Mathematik Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4012248-7 |
| title | Introduction to global variational geometry |
| title_auth | Introduction to global variational geometry |
| title_exact_search | Introduction to global variational geometry |
| title_full | Introduction to global variational geometry Demeter Krupka |
| title_fullStr | Introduction to global variational geometry Demeter Krupka |
| title_full_unstemmed | Introduction to global variational geometry Demeter Krupka |
| title_short | Introduction to global variational geometry |
| title_sort | introduction to global variational geometry |
| topic | Mathematics Global analysis Global differential geometry Mathematical optimization Global Analysis and Analysis on Manifolds Differential Geometry Calculus of Variations and Optimal Control; Optimization Theoretical, Mathematical and Computational Physics Classical and Quantum Gravitation, Relativity Theory Mathematik Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Mathematics Global analysis Global differential geometry Mathematical optimization Global Analysis and Analysis on Manifolds Differential Geometry Calculus of Variations and Optimal Control; Optimization Theoretical, Mathematical and Computational Physics Classical and Quantum Gravitation, Relativity Theory Mathematik Differentialgeometrie |
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