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Spectral geometry, Riemannian submersions, and the Gromov-Lawson conjecture

Author: Peter B Gilkey; John V Leahy; Jeonghyeong Park
Publisher: Boca Raton, FL : Chapman & Hall/CRC Press, 1999.
Series: Studies in advanced mathematics.
Edition/Format:   Print book : English
Summary:

Explores the theory and research on the form valued Laplacian in the class of smooth compact manifolds without boundary. This book explores eigenform preservation in respect to pull back. It also  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Peter B Gilkey; John V Leahy; Jeonghyeong Park
ISBN: 0849382777 9780849382772
OCLC Number: 41338076
Description: 279 pages ; 25 cm.
Contents: Ch. 1. Elliptic Operators. 1.1. Introduction. 1.2. The real and complex Laplace operators. 1.3. Spinors. 1.4. Spectral resolutions. 1.5. Manifolds with boundary. 1.6. Spectral invariants. 1.7. The eta invariant. 1.8. Computing the eta invariant --
Ch. 2. Differential Geometry. 2.1. Introduction. 2.2. Riemannian submersions. 2.3. Characteristic classes. 2.4. The geometry of sphere and principal bundles. 2.5. The geometry of circle bundles. 2.6. The Hopf fibration. 2.7. The scalar curvature. 2.8. Levi-Civita and spin connections --
Ch. 3. Positive Curvature. 3.1. Introduction. 3.2. Manifolds with positive Ricci curvature. 3.3. Bordism and connective K theory. 3.4. Calculations involving the eta invariant.
Series Title: Studies in advanced mathematics.
Responsibility: Peter B. Gilkey, John V. Leahy, Jeonghyeong Park.
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