Spaces and moduli spaces of Riemannian metrics

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• 作者：Wilderich Tuschmann
• 关键词：Riemannian metrics ; moduli spaces ; sectional curvature ; positive Ricci curvature ; positive scalar curvature
• 刊名：Frontiers of Mathematics in China
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：11
• 期：5
• 页码：1335-1343
• 全文大小：143 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Chinese Library of Science
  
• 出版者：Higher Education Press, co-published with Springer-Verlag GmbH
• ISSN：1673-3576
• 卷排序：11

文摘

These notes present and survey results about spaces and moduli spaces of complete Riemannian metrics with curvature bounds on open and closed manifolds, here focussing mainly on connectedness and disconnectedness properties. They also discuss several open problems and questions in the field.