Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces Topics from Differential Geometry and Geometric Analysis of Surfaces /

• Κύριος συγγραφέας: Fröhlich, Steffen (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Σειρά: Lecture Notes in Mathematics, 2053
• Θέματα: Mathematics.; Functions of complex variables.; Partial differential equations.; Differential geometry.; Differential Geometry.; Partial Differential Equations.; Functions of a Complex Variable.
• Φυσική περιγραφή: XIV, 117 p. online resource.
• ISBN: 9783642298462
• ISSN: 0075-8434 ;

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.