Titlebook: Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces; Topics from Differen Steffen Fröhlich Book 2012 Springer-Verlag Berlin

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Bemerkungen zur epistemologischen RevolutionFrames, Cambridge University Press, Cambridge, 2002). This, of course, ensures minimality, but we are also interested in classical regularity of our frames. For this purpose we employ deep results of the theory of nonlinear elliptic systems of div-curl-type and benefit from the work of many authors:

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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean SpacesTopics from Differen

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0075-8434 ferential 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

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Book 2012faces, 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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0075-8434 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.978-3-642-29845-5978-3-642-29846-2Series ISSN 0075-8434 Series E-ISSN 1617-9692

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