Dirac Operators In Riemannian Geometry Thomas Friedrich

ISBN: 9780821820551

Published: 2000

Hardcover

195 pages


Description

Dirac Operators In Riemannian Geometry  by  Thomas   Friedrich

Dirac Operators In Riemannian Geometry by Thomas Friedrich
2000 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 195 pages | ISBN: 9780821820551 | 8.59 Mb

For a Riemannian manifold M, the geometry, topology and analysis are interrelated in ways that have become widely explored in modern mathematics. Bounds on the curvature can have significant implications for the topology of the manifold.

TheMoreFor a Riemannian manifold M, the geometry, topology and analysis are interrelated in ways that have become widely explored in modern mathematics. Bounds on the curvature can have significant implications for the topology of the manifold.

The eigenvalues of the Laplacian are naturally linked to the geometry of the manifold. For manifolds that admit spin structures, one obtains further information from equations involving Dirac operators and spinor fields. In the case of four-manifolds, for example, one has the remarkable Seiberg-Witten invariants.



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