A structure theorem of Dirac-harmonic maps between spheres

Ling Yang

A structure theorem of Dirac-harmonic maps between spheres

Differential Geometry 2008-06-25 v1

Authors: Ling Yang

Abstract

For an arbitrary Dirac-harmonic map $(\phi,\psi)$ between compact oriented Riemannian surfaces, we shall study the zeros of $|\psi|$ . With the aid of Bochner-type formulas, we explore the relationship between the order of the zeros of $|\psi|$ and the genus of $M$ and $N$ . On the basis, we could clarify all of nontrivial Dirac-harmonic maps from $S^2$ to $S^2$ .

Keywords

harmonic maps mapping theory algebraic topology

Cite

@article{arxiv.0806.3803,
  title  = {A structure theorem of Dirac-harmonic maps between spheres},
  author = {Ling Yang},
  journal= {arXiv preprint arXiv:0806.3803},
  year   = {2008}
}

Comments

12 pages

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