Involutive hyperbolic differential systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1987
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
370 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 68, Number 370 (end of volume) |
| Beschreibung: | XI, 93 S. |
| ISBN: | 0821824333 |
Internformat
MARC
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| 300 | |a XI, 93 S. | ||
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| 650 | 7 | |a Geometria Diferencial |2 larpcal | |
| 650 | 4 | |a Differential equations, Hyperbolic | |
| 650 | 4 | |a Geometry, Differential | |
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Datensatz im Suchindex
| _version_ | 1804118004570521600 |
|---|---|
| adam_text | Table of Contents
Abstract iv
Introduction vii
1. Involutive hyperbolic symbols 1
1.1 Cartan s test for involutive symbols 1
1.2 Guillemin normal form 7
1.3 The characteristic variety and sheaf of an involutive symbol 13
1.4 Involutive hyperbolic symbols 17
1.5 Symbols with rectangular tableaux 21
1.6 Symbols in two independent variables 24
1.7 Involutive hyperbolic symbols of character 2 29
2. Involutive hyperbolic linear differential operators 37
2.1 Cartan s test 37
2.2 Guillemin normal form 40
2.3 The Cartan Kahler theorem for linear differential operators 46
2.4 Involutive hyperbolic linear differential operators 52
3. Involutive hyperbolic quasilinear differential operators 56
3.1 Cartan s test 56
3.2 Guillemin normal form 59
3.3 The Cartan Kahler theorem for quasilinear differential operators 65
3.4 Involutive hyperbolic quasilinear differential operators 67
4. Involutive hyperbolic Pfaffian differential systems 71
4.1 Pfaffian differential systems 71
4.2 Cartan s test for involutivity 74
4.3 The symbol of an involutive Pfaffian system 78
4.4 A C°° Cartan Kahler theorem 79
5. Applications to differential geometry 80
5.1 Preliminaries 80
5.2 Orthogonal systems 81
5.3 Isometric embeddings of hyperbolic n space in Euclidean (2n—l) space 89
5.4 Isometric embeddings of Riemannian 3 manifolds in Euclidean 6 space 89
References 92
|
| any_adam_object | 1 |
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| dewey-full | 510 515.3/53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515.3/53 |
| dewey-search | 510 515.3/53 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV003656272 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:03:24Z |
| institution | BVB |
| isbn | 0821824333 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002328293 |
| oclc_num | 15792519 |
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| physical | XI, 93 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | American Math. Soc. |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Yang, Deane Verfasser aut Involutive hyperbolic differential systems Deane Yang Providence, RI American Math. Soc. 1987 XI, 93 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 370 Volume 68, Number 370 (end of volume) Funcoes (Matematica) larpcal Geometria Diferencial larpcal Differential equations, Hyperbolic Geometry, Differential Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Involution (DE-588)4162262-5 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 s Involution (DE-588)4162262-5 s DE-604 Differentialgleichung (DE-588)4012249-9 s Differentialgeometrie (DE-588)4012248-7 s American Mathematical Society: Memoirs of the American Mathematical Society 370 (DE-604)BV008000141 370 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002328293&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yang, Deane Involutive hyperbolic differential systems American Mathematical Society: Memoirs of the American Mathematical Society Funcoes (Matematica) larpcal Geometria Diferencial larpcal Differential equations, Hyperbolic Geometry, Differential Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Differentialgeometrie (DE-588)4012248-7 gnd Differentialgleichung (DE-588)4012249-9 gnd Involution (DE-588)4162262-5 gnd |
| subject_GND | (DE-588)4131213-2 (DE-588)4012248-7 (DE-588)4012249-9 (DE-588)4162262-5 |
| title | Involutive hyperbolic differential systems |
| title_auth | Involutive hyperbolic differential systems |
| title_exact_search | Involutive hyperbolic differential systems |
| title_full | Involutive hyperbolic differential systems Deane Yang |
| title_fullStr | Involutive hyperbolic differential systems Deane Yang |
| title_full_unstemmed | Involutive hyperbolic differential systems Deane Yang |
| title_short | Involutive hyperbolic differential systems |
| title_sort | involutive hyperbolic differential systems |
| topic | Funcoes (Matematica) larpcal Geometria Diferencial larpcal Differential equations, Hyperbolic Geometry, Differential Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Differentialgeometrie (DE-588)4012248-7 gnd Differentialgleichung (DE-588)4012249-9 gnd Involution (DE-588)4162262-5 gnd |
| topic_facet | Funcoes (Matematica) Geometria Diferencial Differential equations, Hyperbolic Geometry, Differential Hyperbolische Differentialgleichung Differentialgeometrie Differentialgleichung Involution |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002328293&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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