Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500139 | Journal of Geometry and Physics | 2017 | 15 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Saskia Roos,