Global Differential Geometry of Surfaces

A. Svec

ISBN 10: 1402003188 / ISBN 13: 9781402003189

Edité par Springer Netherland, 2001

A propos de cet article

Global Differential Geometry of Surfaces | A. Svec | Taschenbuch | viii | Englisch | 2001 | Springer Netherland | EAN 9781402003189 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

N° de réf. du vendeur 102697352

Détails bibliographiques

• Titre: Global Differential Geometry of Surfaces
• Éditeur: Springer Netherland
• Date de parution: 2001
• Langue: anglais
• ISBN à 10 chiffres: 1402003188
• ISBN à 13 chiffres: 9781402003189
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 9 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 9 millimètres de profondeur
• Poids: 248 grammes
• Catalogues du vendeur:
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A propos de ce titre

Synopsis

Writing this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry. I concentrate myself on the study of sur- faces in the Euclidean 3-space, this being the most natural object for investigation. The global differential geometry of surfaces in E3 is based on two classical results: (i) the ovaloids (i.e., closed surfaces with positive Gauss curvature) with constant Gauss or mean curvature are the spheres, (ü) two isometrie ovaloids are congruent. The results presented here show vast generalizations of these facts. Up to now, there is only one book covering this area of research: the Lecture Notes [3] written in the tensor slang. In my book, I am using the machinary of E. Cartan's calculus. It should be equivalent to the tensor calculus; nevertheless, using it I get better results (but, honestly, sometimes it is too complicated). It may be said that almost all results are new and belong to myself (the exceptions being the introductory three chapters, the few classical results and results of my post- graduate student Mr. M. ÄFWAT who proved Theorems V.3.1, V.3.3 and VIII.2.1-6).