Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / / Gary R. Jensen, Phillip A. Griffiths
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| Autore: |
Griffiths Phillip A.
|
| Titolo: |
Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / / Gary R. Jensen, Phillip A. Griffiths
|
| Pubblicazione: | Princeton, NJ : , : Princeton University Press, , [2016] |
| ©1987 | |
| Descrizione fisica: | 1 online resource (241 pages) : portrait |
| Disciplina: | 515.3/53 |
| Soggetto topico: | Exterior differential systems |
| Differential equations, Partial | |
| Embeddings (Mathematics) | |
| Riemannian manifolds | |
| Soggetto non controllato: | American Mathematical Society |
| Combination | |
| Descriptive geometry | |
| Embedding | |
| Geometry | |
| Integer | |
| Mathematics | |
| Mechanical engineering | |
| Subgroup | |
| Theorem | |
| Theory | |
| Persona (resp. second.): | JensenGary R. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Frontmatter -- Contents -- Preface -- Commonly used notation -- 1. Introduction -- 2. Structure equations of Xn ⊂ EN -- 3. Pfaffian differential systems -- 4. Quasi-linear Pfaffian differential system -- 5. The isometric embedding system -- 6. The characteristic variety -- 7. Isometric embeddings of space forms -- 8. Embedding Cauchy-Riemann structures -- References -- Index |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Differential Systems and Isometric Embeddings.(AM-114), Volume 114 |
| ISBN: | 1-4008-8210-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910154748403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
William H. Roever lectures in geometry.
Annals of mathematics studies ; ; no. 114.