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Coulomb frames in the normal bundle of surfaces in Euclidean spaces : Topics from differential geometry and geometric analysis of surfaces
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-Wei...
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| Auteur principal : | |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Coulomb frames in the normal bundle of surfaces in Euclidean spaces : Topics from differential geometry and geometric analysis of surfaces / Steffen Fröhlich |
| Édition : | 1st ed. 2012. |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
| Collection : | Lecture notes in mathematics (Internet) ; 2053 |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | Surface Geometry. Elliptic Systems. Normal Coulomb Frames in R4. Normal Coulomb Frames in Rn+2 |
| Sujets : | |
| Documents associés : | Autre format:
Coulomb frames in the normal bundle of surfaces in Euclidean spaces Autre format: Coulomb frames in the normal bundle of surfaces in Euclidean spaces Autre format: Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces |
| Résumé : | 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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| Notes : | L'impression du document génère 127 p. |
| Bibliographie : | Bibliogr. Index |
| ISBN : | 978-3-642-29846-2 |
| DOI : | 10.1007/978-3-642-29846-2 |