Prescribing eigenvalues of the Dirac operator

Details Prescribing eigenvalues of the Dirac operator Prescribing eigenvalues of the Dirac operator

2003-11-11

arxiv.org/abs/math/0311172v3

Manuscripta Math. 118 (2005), no. 2, 191-199

Mathematics

Differential Geometry

To appear in Manuscripta Mathematica

Scientific paper

10.1007/s00229-005-0583-0

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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