Conformal actions and harmonic morphisms

Conformal actions and harmonic morphisms
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DOI:
10.1017/s0305004100004618
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发表时间:
2000-11
影响因子:
0.8
通讯作者:
R. Pantilie
R. Pantilie
中科院分区:
数学2区
文献类型:
--
作者:
R. Pantilie

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本文给出了共形向量场局部生成的共形叶理产生调和态射的充要条件。从而得到调和映射和态射的自然构造。此外,我们还得到了爱因斯坦流形上(无穷小)共形作用诱导的调和态射的约化结果。
We give necessary and sufficient conditions for a conformal foliation locally generated by conformal vector fields to produce harmonic morphisms. Natural constructions of harmonic maps and morphisms are thus obtained. Also we obtain reducibility results for harmonic morphisms induced by (infinitesimal) conformal actions on Einstein manifolds.