Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces [electronic resource] :Topics from Differential Geometry and Geometric Analysis of Surfaces / by Steffen Fröhlich.
by Fröhlich, Steffen [author.]; SpringerLink (Online service).
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BookSeries: Lecture Notes in Mathematics: 2053Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : 2012.Description: XIV, 117 p. online resource.ISBN: 9783642298462.Subject(s): Mathematics | Functions of complex variables | Differential equations, partial | Global differential geometry | Mathematics | Differential Geometry | Partial Differential Equations | Functions of a Complex VariableDDC classification: 516.36 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA641-670 (Browse shelf) | Available |
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Surface Geometry -- Elliptic Systems -- Normal Coulomb Frames in R4 -- Normal Coulomb Frames in Rn+2.
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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