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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces by Steffen Frohlich
Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces by Steffen Frohlich
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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Topics from Differential Geometry and Geometric Analysis of Surfaces
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Description

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.
Release date NZ
July 1st, 2012
Audience
  • Professional & Vocational
Illustrations
XIV, 117 p.
Pages
117
Dimensions
156x234x7
ISBN-13
9783642298455
Product ID
19864337

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