# Eigenvalue pinching on spin-c manifolds

#### Autoren: Saskia Roos (2017)

We derive various pinching results for small Dirac eigenvalues using the classification of spinc and spin manifolds admitting nontrivial Killing spinors. For this, we introduce a notion of convergence for spinc manifolds which involves a general study on convergence of Riemannian manifolds with a principal S1-bundle. We also analyze the relation between the regularity of the Riemannian metric and the regularity of the curvature of the associated principal S1-bundle on spinc manifolds with Killing spinors.

Zeitschrift:
J. Geom. Phys.
Verlag:
Elsevier
Seiten:
59-73
Band:
112

zur Übersicht der Publikationen