ENGLISH

Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces: Topics from Differential Geometry and Geometric Analysis of Surfaces

By Steffen Fröhlich (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2012
ISBN
978-3-642-29846-2, 364229846X, 978-3-642-29845-5
DOI
10.1007/978-3-642-29846-2
Language
english
Format
PDF
Filesize
3 MB (3210577 bytes)
Series
Lecture Notes in Mathematics 2053
Edition
1
Pages
117\132
Time added
2014-06-12 06:00:00
Differential Geometry; Partial Differential Equati

Description

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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