Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Topics from Differential Geometry and Geometric Analysis of Surfaces
2012
ISBN: 978-3-642-29845-5
Verlag: Springer

Buch, Englisch, Band 2053, 117 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 219 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Fröhlich, Steffen

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Geometrie Euklidische Geometrie

Inhaltsverzeichnis

Surface Geometry.- Elliptic Systems.- Normal Coulomb Frames in R.- Normal Coulomb Frames in R