
Riemannian Geometry
Willmore(Author)
Clarendon Press
Published on 1. February 1996
Book
Paperback/Softback
330 pages
978-0-19-851492-3 (ISBN)
Description
Developments in this field have been so extensive since the author's work Introduction to Differential Geometry that a new book with particular emphasis on recent work in Riemannian geometry is clearly necessary. This new work includes an elementary account of twistor spaces which will interest both applied mathematicians and physicists as well as presenting recent developments in the theory of harmonic spaces, commutative spaces, and mean-value theorems previously only available in research papers. The final chapter provides the only account available in book form of manifolds known as `Willmore surfaces', illustrated by a series of computer-generated pictures.
Reviews / Votes
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. *More details
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Oxford University Press
Target group
College/higher education
Illustrations
line figures
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 18 mm
Weight
506 gr
ISBN-13
978-0-19-851492-3 (9780198514923)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
1. Differentiable manifolds ; 2. Tensors and differential forms ; 3. Riemannian manifolds ; 4. Submanifold theory ; 5. Complex and almost-complex manifolds ; 6. Special Riemannian manifolds ; 7. Special Riemannian submanifolds ; Appendix: Partitions of unity ; Bibliography