Moduli Spaces of Riemannian Metrics is popular PDF and ePub book, written by Wilderich Tuschmann in 2015-10-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Moduli Spaces of Riemannian Metrics can be Read Online from any device for your convenience.
Moduli Spaces of Riemannian Metrics Book PDF Summary
This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature. If we form the quotient of such a space of metrics under the action of the diffeomorphism group (or possibly a subgroup) we obtain a moduli space. Understanding the topology of both the original space of metrics and the corresponding moduli space form the central theme of this book. For example, what can be said about the connectedness or the various homotopy groups of such spaces? We explore the major results in the area, but provide sufficient background so that a non-expert with a grounding in Riemannian geometry can access this growing area of research.
Detail Book of Moduli Spaces of Riemannian Metrics PDF
- Author : Wilderich Tuschmann
- Release : 14 October 2015
- Publisher : Springer
- ISBN : 9783034809481
- Genre : Mathematics
- Total Page : 127 pages
- Language : English
- PDF File Size : 16,7 Mb
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