| 1 | f-Harmonic Morphisms Between Riemannian Manifolds显示文摘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. | Yelin OU | 2014 | Chinese Annals of Mathematics,Series B2014，35，2： | 4 |
您所在的机构暂未开通此部分的功能，请联系管理员