f-Harmonic Morphisms Between Riemannian Manifolds  

作　　者：Yelin OU 

机构地区：[1]Department of Mathematics,Guangxi University for Nationalities

出　　处：《Chinese Annals of Mathematics,Series B》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)

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.

关 键 词：f-Harmonic maps f-Harmonic morphisms F-Harmonic maps Har-monic morphisms p-Harmonic morphisms 

分 类 号：O186.12[理学—数学]