Laplacian on a Riemannian Manifold - An Introduction to Analysis on Manifolds

Zusammenfassung 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. 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.

Product details

• Authors: S. Rosenberg, Steven Rosenberg
• Assisted by: C M Series (Editor), C. M. Series (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 09.01.1997
• EAN: 9780521463003
• ISBN: 978-0-521-46300-3
• No. of pages: 188
• Series: London Mathematical Society Student Texts; London Mathematical Society St; London Mathematical Society Student Texts; London Mathematical Society St
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; Mathematische Analysis, allgemein