03270nam 22006135 450 99646677270331620200705125901.03-642-29846-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)99340000000008587120120629d2012 u| 0engurnn|008mamaatxtccrCoulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces[electronic resource] Topics from Differential Geometry and Geometric Analysis of Surfaces /by Steffen Fröhlich1st ed. 2012.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2012.1 online resource (XIV, 117 p.) Lecture Notes in Mathematics,0075-8434 ;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,0075-8434 ;2053Differential geometryPartial differential equationsFunctions of complex variablesDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Functions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Differential geometry.Partial differential equations.Functions of complex variables.Differential Geometry.Partial Differential Equations.Functions of a Complex Variable.516.36Fröhlich Steffenauthttp://id.loc.gov/vocabulary/relators/aut477667BOOK996466772703316Coulomb frames in the normal bundle of surfaces in Euclidean spaces241127UNISA