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Prescribing eigenvalues of the Dirac operator

Mattias Dahl
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Abstract

In this note we show that every compact spin manifold of dimension $\geq 3$ can be given a Riemannian metric for which a finite part of the spectrum of the Dirac operator consists of arbitrarily prescribed eigenvalues with multiplicity 1.

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Mattias Dahl. 2005-08-05. Prescribing eigenvalues of the Dirac operator. https://doi.org/10.1007/s00229-005-0583-0

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