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Moduli spaces of riemannian metrics / Wilderich Tuschmann and David J. Wraith

By: Contributor(s): Material type: TextTextSeries: Oberwolfach seminars ; v 46.Publication details: New York : Birkhauser, 2015.Description: x, 123 pages ; 24 cmISBN:
  • 9783034809474
Subject(s): DDC classification:
  • 516.373 23 T964
Contents:
1. Space of metrics -- 2. Clifford algebras and spin -- 3. Dirac operators and index theorems -- 4. Early results on the space of positive scalar curvature metrics -- 5. The Kreck-Stolz invariants -- 6. Applications of the s- invariants -- 7. The observer moduli space -- 8. A survey of other results -- 9. Moduli spaces of riemannian metrics with negative sectional curvature -- 10. Non-negative sectional curvature moduli spaces on open manifolds -- 11. The Klingenberg-Sakai conjecture and the space of positively pinched metrics -- Appendices.
Summary: 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 516.373 T964 (Browse shelf(Opens below)) Available 138005
Total holds: 0

Includes bibliographical references.

1. Space of metrics --
2. Clifford algebras and spin --
3. Dirac operators and index theorems --
4. Early results on the space of positive scalar curvature metrics --
5. The Kreck-Stolz invariants --
6. Applications of the s- invariants --
7. The observer moduli space --
8. A survey of other results --
9. Moduli spaces of riemannian metrics with negative sectional curvature --
10. Non-negative sectional curvature moduli spaces on open manifolds --
11. The Klingenberg-Sakai conjecture and the space of positively pinched metrics --
Appendices.

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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