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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces : Topics from Differential Geometry and Geometric Analysis of Surfaces / by Steffen Fröhlich.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Fröhlich, Steffen, 1973- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2053.
- Lecture Notes in Mathematics, 0075-8434 ; 2053
- Language:
- English
- Subjects (All):
- Global differential geometry.
- Differential equations, Partial.
- Functions of complex variables.
- Differential Geometry.
- Partial Differential Equations.
- Functions of a Complex Variable.
- Local Subjects:
- Differential Geometry.
- Partial Differential Equations.
- Functions of a Complex Variable.
- Physical Description:
- 1 online resource (XIV, 117 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- Surface Geometry
- Elliptic Systems
- Normal Coulomb Frames in R4
- Normal Coulomb Frames in Rn+2.
- Other Format:
- Printed edition:
- ISBN:
- 9783642298462
- Access Restriction:
- Restricted for use by site license.
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