Homogeneity-preserving property of harmonic sequences from surfaces into complex Grassmann manifolds

Abstract

We prove that if ϕis a homogeneous harmonic map from a Riemann surface Minto a complex Grassmann manifold G(k, n),then the maps of the harmonic sequences generated by ϕare all homogeneous.

Keywords

Complex Grassmann manifold / harmonic sequence / homogeneous surface

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Higher Education Press and Springer-Verlag GmbH Germany