Frontiers of Mathematics in China >

2017 , Vol. 12 >Issue 5: 1131 - 1137

DOI: https://doi.org/10.1007/s11464-017-0639-y

RESEARCH ARTICLE

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

  • Jie FEI 1 ,
  • Wenjuan ZHANG , 2
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  • 1. Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, Suzhou 215123, China
  • 2. School of Science, East China University of Technology, Nanchang 330013, China

Received date: 25 Nov 2016

Accepted date: 13 Mar 2017

Published date: 30 Sep 2017

Copyright

2017 Higher Education Press and Springer-Verlag GmbH Germany
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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.

Key words： Complex Grassmann manifold; harmonic sequence; homogeneous surface

Cite this article

Jie FEI , Wenjuan ZHANG . Homogeneity-preserving property of harmonic sequences from surfaces into complex Grassmann manifolds[J]. Frontiers of Mathematics in China, 2017 , 12(5) : 1131 -1137 . DOI: 10.1007/s11464-017-0639-y

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