Harmonic spinors and local deformations of the metric
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چکیده
Let (M, g) be a compact Riemannian spin manifold. The AtiyahSinger 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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تاریخ انتشار 2009