ESSENTIAL SPECTRUMS OF THE DIRAC OPERATORS ON NON-COMPACT POSITIVELY CURVED MANIFOLDS

Shigeo Kawai (Japan)

Received June 3, 2008

Abstract

The essential spectrums of the Dirac operators on Riemannian manifolds are investigated. It is proved that if the curvatures satisfy some positivity conditions and decay at infinity.

Keywords and phrases: Dirac operator, essential spectrum.