Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Mathematics (GTM, volume 224)
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Table of contents (6 chapters)
Keywords
About this book
Reviews
From the reviews:
"The book gives an introduction to the basic theory of differentiable manifolds and fiber bundles … The book is well written. The presentation is clear, detailed and essentially self-contained. This book is suitable for senior undergraduate and graduate students. It can be used for a course on manifolds and bundles, or a course in differential geometry." (M. Burkhardt, Zeitschrift für Analysis und ihre Anwendungen, 1, 2005)
"This text is an introduction to the theory of differentiable manifolds and fiber bundles … provides a comprehensive overview of differentiable manifolds … concepts are illustrated in detail for bundles over spheres … This book can be used for a one-semester course on manifolds or bundles, or a two-semester course in differential geometry." (L'enseignement mathématique, 50:1-2, 2004)
"This book is based on the author’s graduate-level lecture notes. … One of the strengths of this book is the fact that the author manages in a 220-page volume to cover important themes in Riemannian geometry and fiber bundles. … The book contains some nice examples … . The topics are well-closed and the content is well-organized. … This clearly written book is an excellent source for teaching a course in differential geometry … . It is a worthwhile addition to any mathematical library." (Stere Ianus, Zentralblatt MATH, Vol. 1083, 2006)
"This text should be an elementary introduction to differential geometry. … The style is rather concise and many facts are shifted to 165 nontrivial exercises. The book is very well written and can be recommended to those who want to learn the topic quickly and actively." (EMS Newsletter, June, 2005)
"This book is a carefully written text for an introductory graduate course on differentiable manifolds, fiber bundles and Riemannian geometry. … This book is a thorough and insightful introduction to modern differentialgeometry with many interesting examples and exercises that illustrate key concepts effectively; it is highly recommended by the reviewer." (Thomas E. Cecil, Mathematical Reviews, Issue 2006 e)
"In every mathematical library a number of introductory books to differential geometry can be found. They are all different in some aspect, but – at the same time – none presents all the concepts equally successfully to all the readers. So there is allways a need for new introductory books, and Walschap’s book is a good one of these. … The series of definitions, concepts and theories are punctuated by examples, remarks. Each section ends with exercises." (Árpád Kurusa, Acta Scientiarum Mathematicarum, Vol. 73, 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Metric Structures in Differential Geometry
Authors: Gerard Walschap
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-0-387-21826-7
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2004
Hardcover ISBN: 978-0-387-20430-7Published: 18 March 2004
Softcover ISBN: 978-1-4419-1913-7Published: 29 November 2010
eBook ISBN: 978-0-387-21826-7Published: 23 August 2012
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: VIII, 229
Number of Illustrations: 7 b/w illustrations
Topics: Differential Geometry, Global Analysis and Analysis on Manifolds, Manifolds and Cell Complexes (incl. Diff.Topology)