Mass endomorphism, surgery and perturbations

Abstract

We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.

References in corpus (1)

• Dirac eigenspinors for generic metrics

Cited by in corpus (3)

• Dirac eigenspinors for generic metrics
• Curvature effect in the spinorial Yamabe problem on product manifolds
• A variational analysis of the spinorial Yamabe equation on product manifolds