Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces - Lecture Notes in Mathematics - Steffen Frohlich - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783642298455 - July 1, 2012
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Steffen Frohlich
Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces - Lecture Notes in Mathematics 1st edition

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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.

131 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released July 1, 2012
ISBN13 9783642298455
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 131
Dimensions 156 × 234 × 7 mm   ·   219 g
Language German  

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