A structure theorem of Dirac-harmonic maps between spheres

dc.creatorYang, Ling
dc.date2008-06-24
dc.date.accessioned2026-07-07T09:46:23Z
dc.date.available2026-07-07T09:46:23Z
dc.descriptionFor 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 $S^2$ to $S^2$.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0806.3803
dc.identifierhttp://arxiv.org/abs/0806.3803
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163512
dc.subjectDifferential Geometry
dc.subject58E20; 53C27
dc.titleA structure theorem of Dirac-harmonic maps between spheres
dc.typetext

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