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

Jie Fei; Wenjuan Zhang

doi:10.1007/s11464-017-0639-y

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

Jie Fei, Wenjuan Zhang^*

^*Corresponding author for this work

Department of Pure Mathematics

East China University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1131-1137
Number of pages	7
Journal	Frontiers of Mathematics in China
Volume	12
Issue number	5
DOIs	https://doi.org/10.1007/s11464-017-0639-y
Publication status	Published - 1 Oct 2017

Keywords

Complex Grassmann manifold
harmonic sequence
homogeneous surface

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title = "Homogeneity-preserving property of harmonic sequences from surfaces into complex Grassmann manifolds",

abstract = "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.",

keywords = "Complex Grassmann manifold, harmonic sequence, homogeneous surface",

author = "Jie Fei and Wenjuan Zhang",

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AU - Fei, Jie

AU - Zhang, Wenjuan

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N2 - 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.

AB - 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.

KW - Complex Grassmann manifold

KW - harmonic sequence

KW - homogeneous surface

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JO - Frontiers of Mathematics in China

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

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Keywords

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