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Harmonic spinors and local deformations of the metric

Ammann, Bernd and Dahl, Matthias and Humbert, Emmanuel (2010) Harmonic spinors and local deformations of the metric. Preprintreihe der Fakultät Mathematik 3/2010, Working Paper. (Submitted)

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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.


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Item Type:Monograph (Working Paper)
Date:2010
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Subjects:500 Science > 510 Mathematics
Status:Submitted
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Partially
Deposited On:12 Feb 2010 10:57
Last Modified:13 Mar 2014 12:53
Item ID:12849
Owner Only: item control page

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