LEADER 02645nam 2200553Ia 450 001 9910484159103321 005 20200520144314.0 010 $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 $a20120409d2012 uy 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 $etopics from differential geometry and geometric analysis of surfaces /$fSteffen Frohlich 205 $a1st ed. 2012. 210 $aHeidelberg ;$aNew York $cSpringer Verlag$d2012 215 $a1 online resource (XIV, 117 p.) 225 1 $aLecture notes in mathematics ;$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 (Springer-Verlag) ;$v2053. 606 $aGeometry, Differential 606 $aFrames (Combinatorial analysis) 615 0$aGeometry, Differential. 615 0$aFrames (Combinatorial analysis) 676 $a516.36 700 $aFrohlich$b Steffen$f1973-$01753919 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484159103321 996 $aCoulomb frames in the normal bundle of surfaces in Euclidean spaces$94189984 997 $aUNINA