Differential systems and isometric embeddings:
The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have l...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[1987]
|
| Series: | Annals of Mathematics Studies
number 114 |
| Subjects: | |
| Links: | https://doi.org/10.1515/9781400882106?locatt=mode:legacy |
| Summary: | The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) |
| Physical Description: | 1 online resource |
| ISBN: | 9781400882106 |
| DOI: | 10.1515/9781400882106 |
Staff View
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| 520 | |a The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds | ||
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Record in the Search Index
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| any_adam_object | |
| author | Griffiths, Phillip 1938- Jensen, Gary R. 1941- |
| author_GND | (DE-588)131881434 (DE-588)108787834 |
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| dewey-sort | 3515.3 253 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV043712470 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:43:15Z |
| institution | BVB |
| isbn | 9781400882106 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029124698 |
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| physical | 1 online resource |
| psigel | ZDB-23-DGG ZDB-23-PST |
| publishDate | 1987 |
| publishDateSearch | 1987 |
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| publisher | Princeton University Press |
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| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Griffiths, Phillip 1938- (DE-588)131881434 aut Differential systems and isometric embeddings Gary R. Jensen, Phillip A. Griffiths Princeton, NJ Princeton University Press [1987] © 1987 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 114 Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds In English Differential equations, Partial Embeddings (Mathematics) Exterior differential systems Riemannian manifolds Graßmann-Mannigfaltigkeit (DE-588)4158085-0 gnd rswk-swf Pfaff-Gleichung (DE-588)4319093-5 gnd rswk-swf Isometrische Einbettung (DE-588)4162532-8 gnd rswk-swf Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Quasilineare Differentialgleichung (DE-588)4502329-3 gnd rswk-swf Einbettung Mathematik (DE-588)4151233-9 gnd rswk-swf Pfaff-Gleichung (DE-588)4319093-5 s Quasilineare Differentialgleichung (DE-588)4502329-3 s Isometrische Einbettung (DE-588)4162532-8 s 1\p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 2\p DE-604 Einbettung Mathematik (DE-588)4151233-9 s 3\p DE-604 Riemannscher Raum (DE-588)4128295-4 s 4\p DE-604 Graßmann-Mannigfaltigkeit (DE-588)4158085-0 s 5\p DE-604 Jensen, Gary R. 1941- (DE-588)108787834 aut Erscheint auch als Druck-Ausgabe 0-691-08429-7 Annals of Mathematics Studies number 114 (DE-604)BV040389493 114 https://doi.org/10.1515/9781400882106?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Griffiths, Phillip 1938- Jensen, Gary R. 1941- Differential systems and isometric embeddings Annals of Mathematics Studies Differential equations, Partial Embeddings (Mathematics) Exterior differential systems Riemannian manifolds Graßmann-Mannigfaltigkeit (DE-588)4158085-0 gnd Pfaff-Gleichung (DE-588)4319093-5 gnd Isometrische Einbettung (DE-588)4162532-8 gnd Riemannscher Raum (DE-588)4128295-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Quasilineare Differentialgleichung (DE-588)4502329-3 gnd Einbettung Mathematik (DE-588)4151233-9 gnd |
| subject_GND | (DE-588)4158085-0 (DE-588)4319093-5 (DE-588)4162532-8 (DE-588)4128295-4 (DE-588)4044779-0 (DE-588)4502329-3 (DE-588)4151233-9 |
| title | Differential systems and isometric embeddings |
| title_auth | Differential systems and isometric embeddings |
| title_exact_search | Differential systems and isometric embeddings |
| title_full | Differential systems and isometric embeddings Gary R. Jensen, Phillip A. Griffiths |
| title_fullStr | Differential systems and isometric embeddings Gary R. Jensen, Phillip A. Griffiths |
| title_full_unstemmed | Differential systems and isometric embeddings Gary R. Jensen, Phillip A. Griffiths |
| title_short | Differential systems and isometric embeddings |
| title_sort | differential systems and isometric embeddings |
| topic | Differential equations, Partial Embeddings (Mathematics) Exterior differential systems Riemannian manifolds Graßmann-Mannigfaltigkeit (DE-588)4158085-0 gnd Pfaff-Gleichung (DE-588)4319093-5 gnd Isometrische Einbettung (DE-588)4162532-8 gnd Riemannscher Raum (DE-588)4128295-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Quasilineare Differentialgleichung (DE-588)4502329-3 gnd Einbettung Mathematik (DE-588)4151233-9 gnd |
| topic_facet | Differential equations, Partial Embeddings (Mathematics) Exterior differential systems Riemannian manifolds Graßmann-Mannigfaltigkeit Pfaff-Gleichung Isometrische Einbettung Riemannscher Raum Partielle Differentialgleichung Quasilineare Differentialgleichung Einbettung Mathematik |
| url | https://doi.org/10.1515/9781400882106?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT griffithsphillip differentialsystemsandisometricembeddings AT jensengaryr differentialsystemsandisometricembeddings |