English

An estimate on the nodal set of eigenspinors on closed surfaces

Differential Geometry 2018-03-22 v2 Mathematical Physics math.MP Spectral Theory

Abstract

We use a modified Bochner technique to derive an inequality relating the nodal set of eigenspinors to eigenvalues of the Dirac operator on closed surfaces. In addition, we apply this technique to solutions of similar spinorial equations.

Keywords

Cite

@article{arxiv.1510.01200,
  title  = {An estimate on the nodal set of eigenspinors on closed surfaces},
  author = {Volker Branding},
  journal= {arXiv preprint arXiv:1510.01200},
  year   = {2018}
}