Exterior differential systems and equivalence problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht u.a.
Kluwer
1992
|
| Series: | Mathematics and its applications
73 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 196 S. |
| ISBN: | 0792315936 |
Staff View
MARC
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| 245 | 1 | 0 | |a Exterior differential systems and equivalence problems |c by Kichoon Yang |
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| 300 | |a XI, 196 S. | ||
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Record in the Search Index
| _version_ | 1804119259509424128 |
|---|---|
| adam_text | Table of Contents
Series Editor s Preface vii
Preface xi
Chapter I. Exterior Algebra I
§1. Exterior Forms 2
§2. The Interior Product 10
§3. Systems of Exterior Equations on a Vector Space 16
Chapter II. Elementary Differential Systems 20
§1. Exterior Differential Systems on a Manifold 21
§2. Completely Integrable Systems and the Cauchy Characteristics 25
§3. Elementary Pfaffian Systems 34
Chapter III. Cartan Kaehler Theory 39
§1. Ordinary and Regular Integral Elements 40
§2. Examples 48
§3. The Cartan Kaehler Theorem 52
Chapter IV. Involution and Prolongation 67
§1. Cartan s Test 68
§2. Exterior Differential Systems with Independent Variables 71
§3. Prolongations 81
Chapter V. Quasi Linear Pfaffian Differential Systems 88
81. Cartan s Test Revisited 89
§2. Examples 98
§3. The Characteristic Variety of a Quasi Linear Pfaffian System 104
§4. The Case of Two Independent Variables 108
§5. The Case of Three Independent Variables 114
§6. Spencer Cohomology 118
Chapter VI. Higher Order G structures 131
§1. First Order G structures 131
§2. Prolongations of Lie Algebras 137
§3. Jet Bundles and Higher Order G structures 140
§4. Projective and Conformal Structures 142
§5. Normal Projective and Conformal Connections 146
Chapter VII. Embeddings of G structures 152
81. Preliminaries: Moving Frames 153
§2. The Naive Isometric Embedding System 159
§3. The First Prolongation of the Isometric Embedding System 168
U. Surfaces in R3; the Characteristic Variety 171
§5. Embeddings of Cauchy Riemann Structures 173
§6. The Projective Embedding Problem 181
Bibliography 191
Index 193
|
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| id | DE-604.BV005127074 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:23:21Z |
| institution | BVB |
| isbn | 0792315936 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003153679 |
| oclc_num | 25316488 |
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| owner_facet | DE-12 DE-739 DE-703 DE-706 DE-634 DE-11 |
| physical | XI, 196 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Yang, Kichoon Verfasser aut Exterior differential systems and equivalence problems by Kichoon Yang Dordrecht u.a. Kluwer 1992 XI, 196 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 73 Pfaffianos (análise) larpcal Systèmes différentiels extérieurs Systèmes différentiels extérieurs ram Exterior differential systems Äußeres Differentialsystem (DE-588)4141545-0 gnd rswk-swf Äußeres Differentialsystem (DE-588)4141545-0 s DE-604 Mathematics and its applications 73 (DE-604)BV008163334 73 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003153679&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yang, Kichoon Exterior differential systems and equivalence problems Mathematics and its applications Pfaffianos (análise) larpcal Systèmes différentiels extérieurs Systèmes différentiels extérieurs ram Exterior differential systems Äußeres Differentialsystem (DE-588)4141545-0 gnd |
| subject_GND | (DE-588)4141545-0 |
| title | Exterior differential systems and equivalence problems |
| title_auth | Exterior differential systems and equivalence problems |
| title_exact_search | Exterior differential systems and equivalence problems |
| title_full | Exterior differential systems and equivalence problems by Kichoon Yang |
| title_fullStr | Exterior differential systems and equivalence problems by Kichoon Yang |
| title_full_unstemmed | Exterior differential systems and equivalence problems by Kichoon Yang |
| title_short | Exterior differential systems and equivalence problems |
| title_sort | exterior differential systems and equivalence problems |
| topic | Pfaffianos (análise) larpcal Systèmes différentiels extérieurs Systèmes différentiels extérieurs ram Exterior differential systems Äußeres Differentialsystem (DE-588)4141545-0 gnd |
| topic_facet | Pfaffianos (análise) Systèmes différentiels extérieurs Exterior differential systems Äußeres Differentialsystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003153679&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT yangkichoon exteriordifferentialsystemsandequivalenceproblems |