Almost harmonic spinors

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. Nous montrons que, sur toute variét...

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Veröffentlicht in:	Comptes rendus. Mathématique 2010-07, Vol.348 (13), p.811-814
Hauptverfasser:	Ginoux, Nicolas, Grosjean, Jean-François
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis of PDEs Differential Geometry Exact sciences and technology General mathematics General, history and biography Linear and multilinear algebra, matrix theory Mathematical analysis Mathematics Ordinary differential equations Sciences and techniques of general use Spectral Theory
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