A structure theorem of Dirac-harmonic maps between spheres

作者：Yang Ling^*

来源：Calculus of Variations and Partial Differential Equations, 2009, 35(4): 409-420.

DOI：10.1007/s00526-008-0210-5

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

• 出版日期2009-8