Dirac spectrum

In mathematics, a Dirac spectrum, named after Paul Dirac, is the spectrum of eigenvalues of a Dirac operator on a Riemannian manifold with a spin structure. The isospectral problem for the Dirac spectrum asks whether two Riemannian spin manifolds have identical spectra. The Dirac spectrum depends on the spin structure in the sense that there exists a Riemannian manifold with two different spin structures that have different Dirac spectra.[1]

See also

References


This article is issued from Wikipedia - version of the 9/27/2010. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.