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.

Dettagli sul prodotto

• Autori: S. Rosenberg, Steven Rosenberg
• Con la collaborazione di: C M Series (Editore), C. M. Series (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 09.01.1997
• EAN: 9780521463003
• ISBN: 978-0-521-46300-3
• Pagine: 188
• Serie: London Mathematical Society Student Texts; London Mathematical Society St; London Mathematical Society Student Texts; London Mathematical Society St
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria; Mathematische Analysis, allgemein