A structure theorem of Dirac-harmonic maps between spheres
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For an arbitrary Dirac-harmonic map (φ,ψ) between compact oriented Riemannian surfaces, we shall study the zeros of |ψ|. With the aid of Bochner-type formulas, we explore the relationship between the order of the zeros of |ψ| 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.
Mathematics Subject Classification (2000)58E20 53C27
The author wishes to express his sincere gratitude to Professor Y.L. Xin in Fudan University, for his inspiring suggestions.
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