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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Griffiths, Phillip, 1938-
Otros Autores: Jensen, Gary R., 1941-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 1987.
Colección:William H. Roever lectures in geometry.
Annals of mathematics studies ; no. 114.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (225 pages, 1 unnumbered leaf of plates) : portrait
Bibliografía:Includes bibliographical references (pages 213-217) and index.
ISBN:9781400882106
1400882109