A structure theorem of Dirac-harmonic maps between spheres
نویسندگان
چکیده
منابع مشابه
A Structure Theorem of Dirac-harmonic Maps between Spheres
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 nontrivial Dirac-harmonic maps from S to S.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2008
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-008-0210-5