Prescribing eigenvalues of the Dirac operator
classification
🧮 math.DG
keywords
diraceigenvaluesoperatorarbitrarilycompactconsistsdimensionevery
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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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