Almost harmonic spinors

作者：Ginoux Nicolas^*; Grosjean Jean Francois

来源：Comptes Rendus Mathematique, 2010, 348(13-14): 811-814.

DOI：10.1016/j.crma.2010.06.010

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.

• 出版日期2010-7