Almost harmonic spinors
Differential Geometry
2010-11-04 v1
Abstract
We show that any closed spin manifold not diffeomorphic to the two-sphere admits a sequence of volume-one-Riemannian metrics for which the smallest non-zero Dirac eigenvalue tends to zero. As an application, we compare the Dirac spectrum with the conformal volume.
Cite
@article{arxiv.1011.0951,
title = {Almost harmonic spinors},
author = {Nicolas Ginoux and Jean-François Grosjean},
journal= {arXiv preprint arXiv:1011.0951},
year = {2010}
}
Comments
minor modifications of the published version