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Prescribing eigenvalues of the Dirac operator

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Abstract

In this note we show that every compact spin manifold of dimension ≥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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  1. Institutionen för Matematik, Kungl Tekniska Högskolan, 100 44, Stockholm, Sweden

    Mattias Dahl

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  1. Mattias Dahl
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Correspondence to Mattias Dahl.

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Dahl, M. Prescribing eigenvalues of the Dirac operator. manuscripta math. 118, 191–199 (2005). https://doi.org/10.1007/s00229-005-0583-0

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  • DOI: https://doi.org/10.1007/s00229-005-0583-0

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