The Laplacian on a Riemannian manifold : an introduction to analysis on manifolds
This text on analysis of Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. It is aimed at students who have had a first course in differentiable manifolds, and the Riemannian geometry used is developed from the beginning.
Print Book, English, ©1997
Cambridge University Press, Cambridge, england, ©1997
x, 172 p. ; 24 cm.
9780521468312, 9780521463003, 0521468310, 0521463009
318198702
Introduction; 1. The Laplacian on a Riemannian manifold; 2. Elements of differential geometry; 3. The construction of the heat kernel; 4. The heat equation approach to the Atiyah-Singer index theorem; 5. Zeta functions of Laplacians; Bibliography; Index.