The geometry of jet bundles:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge u.a.
Cambridge Univ. Press
1989
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society lecture note series / London Mathematical Society
142 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001199666&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 293 S. |
| ISBN: | 0521369487 |
Internformat
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| 245 | 1 | 0 | |a The geometry of jet bundles |
| 250 | |a 1. publ. | ||
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 A 985-142 |
|---|---|
| DE-BY-TUM_katkey | 121960 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020466013 |
| _version_ | 1821940030276370432 |
| adam_text | Contents
Introduction
1 Bundles 1
1.1 Fibred Manifolds and Bundles 1
1.2 Sections 12
1.3 Bundle Morphisms 15
1.4 New Bundles From Old 20
2 Linear Bundles 27
2.1 Vector Bundles 27
2.2 Vector Bundle Morphisms 35
2.3 Duality and Tensor Products 42
2.4 Affine Bundles 48
3 Linear Operations on General Bundles 55
3.1 Tangent and Cotangent Vectors 55
3.2 Vector Fields 63
3.3 Differential Forms 71
3.4 Derivations 76
3.5 Connections 85
4 First order Jet Bundles 92
4.1 First order Jets 92
4.2 Prolongations of Morphisms 106
4.3 Total Derivatives and Contact Forms 115
4.4 Prolongations of Vector Fields 124
4.5 The Contact Structure 136
4.6 Jet Fields 145
4.7 Vertical Lifts 154
5 Second order Jet Bundles 160
5.1 Second order Jets 160
5.2 Repeated Jets 167
CONTENTS
5.3 Integrability and Semi holonomic Jets 171
5.4 Second order Jet Fields 177
5.5 The Cartan Form 183
6 Higher order Jet Bundles 191
6.1 Multi index Notation 191
6.2 Higher order Jets 194
6.3 The Contact Structure 207
6.4 Vector Fields and their Prolongations 221
6.5 The Higher order Cartan Form 232
7 Infinite Jet Bundles 251
7.1 Preliminaries 251
7.2 Infinite Jets 258
7.3 The Infinite Contact System 265
7.4 The Inverse Problem 278
Bibliography 286
Glossary of Symbols 288
Index 290
|
| any_adam_object | 1 |
| author | Saunders, David 1964- |
| author_GND | (DE-588)1106342917 |
| author_facet | Saunders, David 1964- |
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| building | Verbundindex |
| bvnumber | BV001779936 |
| classification_rvk | SI 320 SK 350 |
| ctrlnum | (OCoLC)246645142 (DE-599)BVBBV001779936 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV001779936 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:41:55Z |
| institution | BVB |
| isbn | 0521369487 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001199666 |
| oclc_num | 246645142 |
| open_access_boolean | |
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| physical | 293 S. |
| psigel | TUB-nveb |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series / London Mathematical Society |
| spellingShingle | Saunders, David 1964- The geometry of jet bundles Jetbündel (DE-588)4498250-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4498250-1 (DE-588)4012248-7 |
| title | The geometry of jet bundles |
| title_auth | The geometry of jet bundles |
| title_exact_search | The geometry of jet bundles |
| title_full | The geometry of jet bundles |
| title_fullStr | The geometry of jet bundles |
| title_full_unstemmed | The geometry of jet bundles |
| title_short | The geometry of jet bundles |
| title_sort | the geometry of jet bundles |
| topic | Jetbündel (DE-588)4498250-1 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Jetbündel Differentialgeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001199666&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT saundersdavid thegeometryofjetbundles |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 A 985-142 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |