03255nam 22006975 450 991015474840332120190708092533.01-4008-8210-910.1515/9781400882106(CKB)3710000000627300(MiAaPQ)EBC4738673(DE-B1597)467999(OCoLC)979836506(DE-B1597)9781400882106(EXLCZ)99371000000062730020190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierDifferential Systems and Isometric Embeddings.(AM-114), Volume 114 /Gary R. Jensen, Phillip A. GriffithsPrinceton, NJ : Princeton University Press, [2016]©19871 online resource (241 pages) portraitAnnals of Mathematics Studies ;3360-691-08430-0 0-691-08429-7 Includes bibliographical references and index.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 -- IndexThe 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.William H. Roever lectures in geometry.Annals of mathematics studies ;no. 114.Exterior differential systemsDifferential equations, PartialEmbeddings (Mathematics)Riemannian manifoldsAmerican Mathematical Society.Combination.Descriptive geometry.Embedding.Geometry.Integer.Mathematics.Mechanical engineering.Subgroup.Theorem.Theory.Exterior differential systems.Differential equations, Partial.Embeddings (Mathematics)Riemannian manifolds.515.3/53Griffiths Phillip A., 57421Jensen Gary R., DE-B1597DE-B1597BOOK9910154748403321Differential Systems and Isometric Embeddings.(AM-114), Volume 1142788793UNINA