Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : sans médiation
Auteur(s) : Fröhlich, Steffen (1973-....)
Titre(s) : Coulomb frames in the normal bundle of surfaces in Euclidean spaces [Texte imprimé] : topics from differential geometry and geometric analysis of surfaces / Steffen Fröhlich
Publication : Berlin : Springer, cop. 2012
Description matérielle : 1 vol. (XIV-117 p.) ; 23 cm
Collection : Lecture notes in mathematics, ISSN 0075-8434 ; 2053
Lien à la collection : Lecture notes in mathematics
Comprend : Surface geometry ; Elliptic systems ; Normal Coulomb frames in R4 ; Normal Coulomb
frames in Rn+2.
Note(s) : Bibliogr. p. 107-111
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
Sujet(s) : Géométrie différentielle
Frames (mathématiques)
Indice(s) Dewey :
516.36 (23e éd.) = Géométrie différentielle et géométrie intégrale
Identifiants, prix et caractéristiques : ISBN 9783642298455. - ISBN 3642298451 (br.)
Identifiant de la notice : ark:/12148/cb427444465
Notice n° :
FRBNF42744446
(notice reprise d'un réservoir extérieur)
