02645nam 2200553Ia 450 991048415910332120200520144314.03-642-29846-X10.1007/978-3-642-29846-2(CKB)3400000000085871(SSID)ssj0000697480(PQKBManifestationID)11412894(PQKBTitleCode)TC0000697480(PQKBWorkID)10692243(PQKB)11452856(DE-He213)978-3-642-29846-2(MiAaPQ)EBC3070625(PPN)165107898(EXLCZ)99340000000008587120120409d2012 uy 0engurnn|008mamaatxtccrCoulomb frames in the normal bundle of surfaces in Euclidean spaces topics from differential geometry and geometric analysis of surfaces /Steffen Frohlich1st ed. 2012.Heidelberg ;New York Springer Verlag20121 online resource (XIV, 117 p.) Lecture notes in mathematics ;2053Bibliographic Level Mode of Issuance: Monograph3-642-29845-1 Includes bibliographical references (p. 107-111) and index.Surface Geometry -- Elliptic Systems -- Normal Coulomb Frames in R4 -- Normal Coulomb Frames in Rn+2.This 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.Lecture notes in mathematics (Springer-Verlag) ;2053.Geometry, DifferentialFrames (Combinatorial analysis)Geometry, Differential.Frames (Combinatorial analysis)516.36Frohlich Steffen1973-1753919MiAaPQMiAaPQMiAaPQBOOK9910484159103321Coulomb frames in the normal bundle of surfaces in Euclidean spaces4189984UNINA