LEADER 03255nam 22006975 450 001 9910154748403321 005 20190708092533.0 010 $a1-4008-8210-9 024 7 $a10.1515/9781400882106 035 $a(CKB)3710000000627300 035 $a(MiAaPQ)EBC4738673 035 $a(DE-B1597)467999 035 $a(OCoLC)979836506 035 $a(DE-B1597)9781400882106 035 $a(EXLCZ)993710000000627300 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aDifferential Systems and Isometric Embeddings.(AM-114), Volume 114 /$fGary R. Jensen, Phillip A. Griffiths 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1987 215 $a1 online resource (241 pages) $cportrait 225 0 $aAnnals of Mathematics Studies ;$v336 311 $a0-691-08430-0 311 $a0-691-08429-7 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tContents -- $tPreface -- $tCommonly used notation -- $t1. Introduction -- $t2. Structure equations of Xn ? EN -- $t3. Pfaffian differential systems -- $t4. Quasi-linear Pfaffian differential system -- $t5. The isometric embedding system -- $t6. The characteristic variety -- $t7. Isometric embeddings of space forms -- $t8. Embedding Cauchy-Riemann structures -- $tReferences -- $tIndex 330 $aThe theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds. 410 0$aWilliam H. Roever lectures in geometry. 410 0$aAnnals of mathematics studies ;$vno. 114. 606 $aExterior differential systems 606 $aDifferential equations, Partial 606 $aEmbeddings (Mathematics) 606 $aRiemannian manifolds 610 $aAmerican Mathematical Society. 610 $aCombination. 610 $aDescriptive geometry. 610 $aEmbedding. 610 $aGeometry. 610 $aInteger. 610 $aMathematics. 610 $aMechanical engineering. 610 $aSubgroup. 610 $aTheorem. 610 $aTheory. 615 0$aExterior differential systems. 615 0$aDifferential equations, Partial. 615 0$aEmbeddings (Mathematics) 615 0$aRiemannian manifolds. 676 $a515.3/53 700 $aGriffiths$b Phillip A., $057421 702 $aJensen$b Gary R., 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154748403321 996 $aDifferential Systems and Isometric Embeddings.(AM-114), Volume 114$92788793 997 $aUNINA