Overview
- First book dealing exclusively with this topic which has hitherto only been treated in original research papers
- Develops relevant background and explains the ideas involved
- Short, concise text with topics ranging from classical results right up to the most recent developments
- Suitable for graduate students with an interest in Riemannian geometry
- Includes supplementary material: sn.pub/extras
Part of the book series: Oberwolfach Seminars (OWS, volume 46)
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Table of contents(11 chapters)
About this book
Reviews
“This book serves as a comprehensive (yet succinct and accessible) guide to the topology of spaces of Riemannian metrics with a given curvature sign condition. … This is one of the most well-studied aspects of moduli spaces of Riemannian metrics but remains a very active area of research, and the reader will find in this book the current state-of-the-art results on the subject.” (Renato G. Bettiol, Mathematical Reviews, October, 2016)
“The interplay between analysis, geometry, and topology is clearly laid out in this book; analytic invariants are constructed to elucidate the structure of geometric moduli spaces. The book is an elegant and concise introduction to the field that puts a number of discrete papers into a coherent focus. … A useful bibliography of the subject appears at the end.” (Peter B. Gilkey, zbMATH 1336.53002, 2016)
Authors and Affiliations
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Institute for Algebra and Geometry, Karlsruher Institut für Technologie KIT, Karlsruhe, Germany
Wilderich Tuschmann
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Department of Mathematics and Stati, National University of Ireland, Maynooth, Ireland
David J. Wraith
About the authors
Bibliographic Information
Book Title: Moduli Spaces of Riemannian Metrics
Authors: Wilderich Tuschmann, David J. Wraith
Series Title: Oberwolfach Seminars
DOI: https://doi.org/10.1007/978-3-0348-0948-1
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2015
Softcover ISBN: 978-3-0348-0947-4Published: 15 October 2015
eBook ISBN: 978-3-0348-0948-1Published: 14 October 2015
Series ISSN: 1661-237X
Series E-ISSN: 2296-5041
Edition Number: 1
Number of Pages: X, 123
Number of Illustrations: 3 b/w illustrations
Topics: Differential Geometry, Algebraic Topology, Manifolds and Cell Complexes (incl. Diff.Topology)