Zero sets of eigenspinors for generic metrics

Andreas Hermann

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Zero sets of eigenspinors for generic metrics

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arxiv 1208.1414 v2 pith:PZCACPH3 submitted 2012-08-07 math.DG

Zero sets of eigenspinors for generic metrics

Andreas Hermann This is my paper

classification math.DG

keywords diraceigenspinorsfixedgenericoperatorspinzeroclosed

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Let $M$ be a closed connected spin manifold of dimension $2$ or $3$ with a fixed orientation and a fixed spin structure. We prove that for a generic Riemannian metric on $M$ the non-harmonic eigenspinors of the Dirac operator are nowhere zero. The proof is based on a transversality theorem and the unique continuation property of the Dirac operator.

Zero sets of eigenspinors for generic metrics

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