Coulomb frames in the normal bundle of surfaces in Euclidean spaces : topics from differential geometry and geometric analysis of surfaces

書誌事項

Coulomb frames in the normal bundle of surfaces in Euclidean spaces : topics from differential geometry and geometric analysis of surfaces

Steffen Fröhlich

(Lecture notes in mathematics, 2053)

Springer, c2012

この図書・雑誌をさがす
注記

Includes bibliographical references (p. 107-111) and indexes

内容説明・目次

内容説明

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.

目次

Surface Geometry.- Elliptic Systems.- Normal Coulomb Frames in R4.- Normal Coulomb Frames in Rn+2

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示
詳細情報
ページトップへ