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

by Steven Rosenberg

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...

• Format: Hardcover
• Language: English
• ISBN: 0521463009
• ISBN13: 9780521463003
• Release Date: January 1997
• Publisher: Cambridge University Press
• Length: 188 Pages
• Weight: 0.99 lbs.
• Dimensions: 0.6" x 6.0" x 9.0"