Moduli Spaces of Riemannian Metrics
Wilderich Tuschmann
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Description for Moduli Spaces of Riemannian Metrics
Paperback. Series: Oberwolfach Seminars. Num Pages: 133 pages, 3 black & white illustrations, biography. BIC Classification: PBMS; PBPD. Category: (P) Professional & Vocational. Dimension: 240 x 168 x 7. Weight in Grams: 244.
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 ... Read more
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 ... Read more
Product Details
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
133
Format
Paperback
Publication date
2016
Series
Oberwolfach Seminars
Condition
New
Number of Pages
123
Place of Publication
Basel, Switzerland
ISBN
9783034809474
SKU
V9783034809474
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Wilderich Tuschmann
Wilderich Tuschmann's general research interests lie in the realms of global differential geometry, Riemannian geometry, geometric topology, and their applications, including, for example, questions concerning the geometry and topology of nonnegative and almost nonnegative curvature, singular metric spaces, collapsing and Gromov-Hausdorff convergence, analysis and geometry on Alexandrov spaces, geometric finiteness theorems, moduli spaces of Riemannian metrics, transformation groups, geometric bordism ... Read more
Reviews for Moduli Spaces of Riemannian Metrics
“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 ... Read more