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Moduli Spaces of Riemannian Metrics (Oberwolfach Seminars, nr. 46)

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en Limba Engleză Carte Paperback – 05 Feb 2016
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.
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Specificații

ISBN-13: 9783034809474
ISBN-10: 3034809476
Pagini: 123
Ilustrații: Bibliographie
Dimensiuni: 168 x 240 x 7 mm
Greutate: 2.41 kg
Ediția: 1st ed. 2015, Corr. 2nd printing 2015
Editura: Springer
Colecția Birkhäuser
Seria Oberwolfach Seminars

Locul publicării: Basel, Switzerland

Recenzii

“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)

Caracteristici

​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