Moduli Spaces of Riemannian Metrics

By David J Wraith and Wilderich Tuschmann

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.

• Format: Paperback
• Language: English
• ISBN: 3034809476
• ISBN13: 9783034809474
• Release Date: October 2015
• Publisher: Birkhauser
• Length: 123 Pages
• Weight: 0.50 lbs.
• Dimensions: 0.3" x 6.7" x 9.6"