LEADER 03270nam 22006135 450 001 996466772703316 005 20200705125901.0 010 $a3-642-29846-X 024 7 $a10.1007/978-3-642-29846-2 035 $a(CKB)3400000000085871 035 $a(SSID)ssj0000697480 035 $a(PQKBManifestationID)11412894 035 $a(PQKBTitleCode)TC0000697480 035 $a(PQKBWorkID)10692243 035 $a(PQKB)11452856 035 $a(DE-He213)978-3-642-29846-2 035 $a(MiAaPQ)EBC3070625 035 $a(PPN)165107898 035 $a(EXLCZ)993400000000085871 100 $a20120629d2012 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aCoulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces$b[electronic resource] $eTopics from Differential Geometry and Geometric Analysis of Surfaces /$fby Steffen Fröhlich 205 $a1st ed. 2012. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012. 215 $a1 online resource (XIV, 117 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2053 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-29845-1 320 $aIncludes bibliographical references (p. 107-111) and index. 327 $aSurface Geometry -- Elliptic Systems -- Normal Coulomb Frames in R4 -- Normal Coulomb Frames in Rn+2. 330 $aThis book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It includes a chapter on curvature estimates for such surfaces, and, using results from potential theory and harmonic analysis, it addresses geometric and analytic methods to establish the existence and regularity of Coulomb frames in their normal bundles, which arise as critical points for a functional of total torsion. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2053 606 $aDifferential geometry 606 $aPartial differential equations 606 $aFunctions of complex variables 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 615 0$aDifferential geometry. 615 0$aPartial differential equations. 615 0$aFunctions of complex variables. 615 14$aDifferential Geometry. 615 24$aPartial Differential Equations. 615 24$aFunctions of a Complex Variable. 676 $a516.36 700 $aFröhlich$b Steffen$4aut$4http://id.loc.gov/vocabulary/relators/aut$0477667 906 $aBOOK 912 $a996466772703316 996 $aCoulomb frames in the normal bundle of surfaces in Euclidean spaces$9241127 997 $aUNISA