This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
Inhaltsverzeichnis
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.