The Laplacian on a Riemannian Manifold An Introduction to Analysis on Manifolds |
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| Author:
| Rosenberg, Steven |
| Contribution by:
| Series, C. M.
Bruce, J. W. |
| Series title: | London Mathematical Society Student Texts |
| ISBN: | 978-0-521-46831-2 |
| Publication Date: | Jan 1997 |
| Publisher: | Cambridge University Press
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| Book Format: | Paperback |
| List Price: | USD $70.99 |
Book Description:
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This text on analysis on Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. The main theme is the study of heat flow associated to the Laplacians on differential forms. This provides a unified treatment of Hodge theory and the supersymmetric proof of the Chern-Gauss-Bonnet theorem. The text is aimed at students who have had a first course in differentiable manifolds, and the Riemannian geometry used is...
More DescriptionThis text on analysis on Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. The main theme is the study of heat flow associated to the Laplacians on differential forms. This provides a unified treatment of Hodge theory and the supersymmetric proof of the Chern-Gauss-Bonnet theorem. The text is aimed at students who have had a first course in differentiable manifolds, and the Riemannian geometry used is developed from the beginning. There are over 100 exercises with hints.