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

By:

Tuschmann, Wilderich [author]

Contributor(s):

Wraith, David J [author]

Material type: Text

TextSeries: Oberwolfach seminars ; v 46.Publication details: New York : Birkhauser, 2015.Description: x, 123 pages ; 24 cmISBN:

9783034809474

Subject(s):

Global Riemannian geometry

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

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Previous	516.373 R873 Foliations on Riemannian manifolds and submanifolds	516.373 Sa159 Riemannian geometry and holonomy groups	516.373 T164 Curvature and topology of Riemannian manifolds	516.373 T964 Moduli spaces of riemannian metrics /	516.373 W246 Analysis for diffusion processes on Riemannian manifolds /	516.373 W362 Introduction to Riemannian geometry and the tensor calculus	516.373 W362 Introduction to Riemannian geometry and the tensor calculus	Next

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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