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Paperback The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds Book

ISBN: 0521468310

ISBN13: 9780521468312

The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds

(Part of the London Mathematical Society Student Texts Series)

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Book Overview

This text on analysis of 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. In particular, there is a careful treatment of the heat kernel for the Laplacian on functions...

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