Moduli Spaces of Riemannian Metrics
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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Basel
Springer Basel
2015, 2015
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| Edition: | 1st ed. 2015 |
| Series: | Oberwolfach Seminars
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Part I: Positive scalar curvature
- The (moduli) space of all Riemannian metrics
- Clifford algebras and spin
- Dirac operators and index theorems
- Early results on the space of positive scalar curvature metrics
- Kreck-Stolz invariants
- Applications of Kreck-Stolz invariants
- The eta invariant and applications
- The case of dimensions 2 and 3
- The observer moduli space and applications
- Other topological structures
- Negative scalar and Ricci curvature
- Part II: Sectional curvature
- Moduli spaces of compact manifolds with positive or non-negative sectional curvature
- Moduli spaces of compact manifolds with negative and non-positive sectional curvature
- Moduli spaces of non-compact manifolds with non-negative sectional curvature
- Positive pinching and the Klingenberg-Sakai conjecture