Some explicit constructions of Dirac-harmonic maps

JOURNAL OF GEOMETRY AND PHYSICS

卷:59

Article

Jost, Juergen¹  Mo, Xiaohuan²  Zhu, Miaomiao¹ 

[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

[2] Peking Univ, Key Lab Pure & Appl Math, Sch Math Sci, Beijing 100871, Peoples R China

关键词: Dirac-harmonic map;    Twistor spinor;    Totally umbilical;   

DOI  :  10.1016/j.geomphys.2009.07.011

来源: Elsevier

【 摘 要 】

We construct explicit examples of Dirac-harmonic maps (phi, psi) between Riemannian manifolds (M, g) and (N, g') which are non-trivial in the sense that phi is not harmonic. When dim M = 2, we also produce examples where phi is harmonic, but not conformal, and psi is non-trivial. (C) 2009 Published by Elsevier B.V.

【 授权许可】

Free