Almost harmonic spinors

Details Almost harmonic spinors Almost harmonic spinors

2010-11-03

arxiv.org/abs/1011.0951v1

C. R. Math. Acad. Sci. Paris 348 (2010), no. 13-14, 811-814

Mathematics

Differential Geometry

minor modifications of the published version

Scientific paper

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.

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