| 书目名称 | Moduli Spaces of Riemannian Metrics |
| 编辑 | Wilderich Tuschmann,David J. Wraith |
| 视频video | |
| 概述 | 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 to |
| 丛书名称 | Oberwolfach Seminars |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Textbook 2015 |
| 关键词 | Riemannian metrics; curvature; manifolds; moduli spaces; topology |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0948-1 |
| isbn_softcover | 978-3-0348-0947-4 |
| isbn_ebook | 978-3-0348-0948-1Series ISSN 1661-237X Series E-ISSN 2296-5041 |
| issn_series | 1661-237X |
| copyright | Springer Basel 2015 |
发表于 2025-3-21 16:40:50
