Harmonic spinors and local deformations of the metric
by
Bernd Ammann, Mattias Dahl, Emmanuel Humbert


Harmonic spinors and local deformations of the metric (.pdf)
Math. Res. Lett. 18, 927-936 (2011)

Abstract

Let (M,g) be a compact Riemannian spin manifold. The Atiyah-Singer index theorem yields a lower bound for the dimension of the kernel of the Dirac operator. We prove that this bound can be attained by changing the Riemannian metric g on an arbitrarily small open set.

Mathematics Subject Classification

53C27 (Primary) 55N22, 57R65 (Secondary)

Typos in printed version


Zurück zur Homepage

The Paper was written on 25.3.2009
Last update 26.6.2023