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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Bibliografiske detaljer
Hovedforfatter: Fröhlich, Steffen, 1973-
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2012.
Serier:Lecture notes in mathematics 2053
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Kommentar: L'impression du document génère 127 p.
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Edition sous un autre format:• Coulomb frames in the normal bundle of surfaces in Euclidean spaces, topics from differential geometry and geometric analysis of surfaces, Steffen Fröhlich, Berlin, Springer, 2012, 1 vol. (XIV-117 p.), Lecture notes in mathematics, 978-3-642-29845-5
• Coulomb frames in the normal bundle of surfaces in Euclidean spaces, topics from differential geometry and geometric analysis of surfaces, Steffen Fröhlich, Berlin, Springer, 2012, 1 vol. (XIV-117 p.), Lecture notes in mathematics, 978-3-642-29845-5
• Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces, Texte imprimé, 9783642298479
Beskrivelse
Summary: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
Emne beskrivelse:L'impression du document génère 127 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografi:Bibliogr. Index
ISBN:9783642298462
ISSN:1617-9692
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