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Differential Systems and Isometric Embeddings by Phillip A. Griffiths, Gary R. Jensen

Differential Systems and Isometric Embeddings

by Phillip A. Griffiths , Gary R. Jensen
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Book cover type: Paperback
  • ISBN13: 9780691084305
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Princeton University Press
  • Publisher Imprint: Princeton University Press
  • Publication Date:
  • Pages: 238
  • Original Price: USD 104.0
  • Language: English
  • Edition: N/A
  • Item Weight: 327 grams
  • BISAC Subject(s): Differential Equations / Partial

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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