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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces: Topics from Differential Geometry and Geometric Analysis of Surfaces (Lecture Notes in Mathematics, Vol. 2053) Paperback - 2012
by Frohlich, Steffen
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From the rear cover
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.
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- Title Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces: Topics from Differential Geometry and Geometric Analysis of Surfaces (Lecture Notes in Mathematics, Vol. 2053)
- Author Frohlich, Steffen
- Binding Paperback
- Edition 1st
- Pages 117
- Language ENG
- Publisher Springer
- Publication date 2012
- ISBN 9783642298455
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