Zero sets of eigenspinors for generic metrics
Differential Geometry
2014-06-12 v2
Abstract
Let be a closed connected spin manifold of dimension or with a fixed orientation and a fixed spin structure. We prove that for a generic Riemannian metric on 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.
Keywords
Cite
@article{arxiv.1208.1414,
title = {Zero sets of eigenspinors for generic metrics},
author = {Andreas Hermann},
journal= {arXiv preprint arXiv:1208.1414},
year = {2014}
}
Comments
37 pages