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f-Harmonic Morphisms Between Riemannian Manifolds 被引量：4

f-Harmonic Morphisms Between Riemannian Manifolds
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摘要 f-Harmonic maps were first introduced and studied by Lichnerowicz in 1970.In this paper,the author studies a subclass of f-harmonic maps called f-harmonic morphisms which pull back local harmonic functions to local f-harmonic functions.The author proves that a map between Riemannian manifolds is an f-harmonic morphism if and only if it is a horizontally weakly conformal f-harmonic map.This generalizes the well-known characterization for harmonic morphisms.Some properties and many examples as well as some non-existence of f-harmonic morphisms are given.The author also studies the f-harmonicity of conformal immersions. f-Harmonic maps were first introduced and studied by Lichnerowicz in 1970. In this paper, the author studies a subclass of f-harmonic maps called f-harmonic morphisms which pull back local harmonic functions to local f-harmonic functions. The author proves that a map between Riemannian manifolds is an f-harmonic morphism if and only if it is a horizontally weakly conformal f-harmonic map. This generalizes the well-known characterization for harmonic morphisms. Some properties and many examples as well as some non-existence of f-harmonic morphisms are given. The author also studies the f-harmonicity of conformal immersions.
作者 Yelin OU
机构地区 Department of Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第2期225-236,共12页 数学年刊（B辑英文版）
基金 supported by the Guangxi Natural Science Foundation(No.2011GXNSFA018127)
关键词 F-调和映射 黎曼流形 态射 调和函数 调和同态 调和性 作者 浸入 f-Harmonic maps, f-Harmonic morphisms, F-Harmonic maps, Har-monic morphisms, p-Harmonic morphisms
分类号 O186.12 [理学—基础数学]
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参考文献24

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Chinese Annals of Mathematics,Series B
2014年 第2期

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