Acta Scientiarum Naturalium Universitatis Pekinensis

Previous Articles     Next Articles

Harmonic Morphisms into Almost Hermitian Manifolds

YE Pingkai1, MO Xiaohuan2, SUN Fang2   

  1. 1Department of Mathematics, Lishui University, Lishui, 323000; 2Laboratory of Mathematics and Applied Mathematic, School of Mathematical Sciences, Peking University, Beijing, 100871, E-mail: moxh@pku.edu.cn
  • Received:2005-06-23 Online:2006-01-20 Published:2006-01-20

到近Hermitian流形的调和同态

叶萍恺1,莫小欢2,孙方2   

  1. 1丽水学院数学系,丽水,323000;2北京大学数学学院,数学与应用数学实验室,北京,100871

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: 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

CLC Number: