Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Topics from Differential Geometry and Geometric Analysis of Surfaces

Specificaties
Paperback, 117 blz. | Engels
Springer Berlin Heidelberg | 2012e druk, 2012
ISBN13: 9783642298455
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Springer Berlin Heidelberg 2012e druk, 2012 9783642298455
Onderdeel van serie Lecture Notes in Mathematics
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783642298455
Taal:Engels
Bindwijze:paperback
Aantal pagina's:117
Uitgever:Springer Berlin Heidelberg
Druk:2012

Inhoudsopgave

Surface Geometry.- Elliptic Systems.- Normal Coulomb Frames in R<sup>4</sup>.- Normal Coulomb Frames in R<sup>n+2</sup>

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        Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces