Riemannian Geometry - Couverture rigide

Willmore, T. J.

Couverture rigide

ISBN 10 : 0198532539 ISBN 13 : 9780198532538

Editeur : Clarendon Press, 1993

Synopsis

The subject of differential geometry has developed so extensively since T.J. Willmore's book "Introduction to Differential Geometry" appeared over 30 years ago, that a new book with particular emphasis on recent work in Riemannian geometry was necessary. The methods used include classical tensor calculus, the suffix-free calculus and the method of moving frames involving the exterior calculus of differential forms, each method having advantages in particular situations. This book includes an elementary account of twistor spaces which should be of interest to applied mathematicians and physicists. It contains recent developments in the theory of harmonic spaces, commutative spaces and mean-value theorems previously available only in research papers. The final chapter gives the only account available in book form of manifolds known in the literature as "Willmore surfaces", a topic which has received much attention during the last 15 years. These surfaces are illustrated by a series of computer-generated pictures.

A propos du livre

Présentation de l'éditeur

Riemannian Geometry includes results discovered during the last few years, which have previously only been available through research papers. It contains an elementary account of twistor spaces, of interest to applied mathematicians and physicists, and the final chapter gives the only account available in book form of Willmore surfaces (illustrated by a series of computer-generated pictures).

Revue de presse

a timely grand review of the whole field of modern differential geometry ... It includes a concise and very readable account of twistor spaces which should appeal especially to mathematicians and physicists; and it clearly describes recent developments on sundry topics hitherto treated only in research papers. (Aslib Book Guide, vol.61, no.10, October 1996.)

Détails de l'édition

• Éditeur: Clarendon Press
• Date d'édition: 1993
• Langue: anglais
• ISBN 10: 0198532539
• ISBN 13: 9780198532538
• Reliure: Relié
• Nombre de pages: 336
• Coordonnées du fabricant: non disponible
• Personne responsable: Messaggerie Libri; ufficio.anagrafiche@meli.it; ; Via Verdi, 8; Assago Milano; Italie