We prove that if φ is a homogeneous harmonic map from a Riemann surface M into a complex Grassmann manifold G(k, n), then the maps of the harmonic sequences generated by φ are all homogeneous.
基金This work was supported in part by the National Natural Science Foundation of China (Grant No. 11401481) and the Research Development Fund of XJTLU (Grant No. RDF13-01-14).
文摘We prove that if φ is a homogeneous harmonic map from a Riemann surface M into a complex Grassmann manifold G(k, n), then the maps of the harmonic sequences generated by φ are all homogeneous.