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Dirac Operators in Riemannian Geometry


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Dirac Operators in Riemannian Geometry - Friedrich, Thomas
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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. 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 ...

Dirac Operators in Riemannian Geometry 2000, American Mathematical Society

ISBN-13: 9780821820551