UID:
almahu_9947363757902882
Format:
XIV, 117 p.
,
online resource.
ISBN:
9783642298462
Series Statement:
Lecture Notes in Mathematics, 2053
Content:
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.
Note:
Surface Geometry -- Elliptic Systems -- Normal Coulomb Frames in R4 -- Normal Coulomb Frames in Rn+2.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783642298455
Language:
English
Subjects:
Mathematics
DOI:
10.1007/978-3-642-29846-2
URL:
http://dx.doi.org/10.1007/978-3-642-29846-2
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(lizenzpflichtig)
