Abstract: M→N be a horizontally conformal map from a Riemannian manifold M to an almost Hermitian manifold. The authors express the tension field of Φ in terms of the dilation of Φ and the Lee form of N, which lead to a test for Φ to be a harmonic morphism. Some results on transfer of structures involving a Watson type result are given.

Key words: harmonic morphism, Lee form, almost Hermitian manifold, f-structure

摘要： 设Φ：M→N是从黎曼流形到近Hermitian流形的水平共形映射。以Φ的dilation和N上的Lee形式表示Φ的张力场，从而导出了判别Φ为调和同态的准则。进一步给出了若干结构转移定理，其中之一为Watson型结果。

关键词: 调和morphism, Lee形式, 近Hermitian, f结构