Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Steffen Fröhlich

ISBN 10: 3642298451 / ISBN 13: 9783642298455

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 2012, 2012

Beschreibung

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 136 pp. Englisch.

Bestandsnummer des Verkäufers 9783642298455

Bibliografische Details

• Titel: Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 2012
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 3642298451
• ISBN-13: 9783642298455
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 8 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 8 mm
• Gewicht: 219 Gramm

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Inhaltsangabe

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.