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. 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. The Atiyah-Singer index theorem and its applications are developed (without complete proofs) via the heat equation method. Zeta functions for Laplacians and analytic torsion are also treated, an…
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Produktdetails
- ISBN: 978-0-511-88570-9
- EAN: 9780511885709
- Produktnummer: 14823583
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 1997
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 20'082 KB
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