Spectral symmetry of the Dirac operator for compact and noncompact symmetric pairs

Howard D. Fegan, Brian F. Steer and L. Whiteway

Vol. 145 (1990), No. 2, 211–221

DOI: 10.2140/pjm.1990.145.211

Abstract

The aim of this paper is to prove a vanishing of theorem for the Dirac operator on a symmetric pair. In fact, we prove a stronger result: that the Dirac operator has spectral G-symmetry.

Mathematical Subject Classification 2000

Primary: 58G25

Secondary: 22E46

Milestones

Received: 5 December 1988

Revised: 1 September 1989

Published: 1 October 1990