Prescribing eigenvalues of the Dirac operator

Abstract

In this note we show that every compact spin manifold of dimension $\ge 3$ 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.

To appear in Manuscripta Mathematica

References in corpus (2)

• Surgery and the Spectrum of the Dirac Operator
• Dirac eigenvalues for generic metrics on three-manifolds

Cited by in corpus (7)

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• Prescription du spectre de Steklov dans une classe conforme
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• Dirac Eigenvalues of higher Multiplicity
• A spinorial analogue of the Brezis-Nirenberg theorem involving the critical Sobolev exponent
• Existence of Dirac Eigenvalues of higher Multiplicity