Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces (eBook, PDF)

Topics from Differential Geometry and Geometric Analysis of Surfaces

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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 regu...

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