| 摘要: |
| 本文我们得到了由复芬斯勒度量诱导的hermit度量的凯勒条件。利用萧荫棠的Bochner技巧我们导出了从复芬斯勒流形出发的调和映照的全纯性和多重调和性。 |
| 关键词: 全纯性,多重调和,复芬斯勒流形,调和映照 |
| DOI: |
| 分类号:O |
| 基金项目: |
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| Holomorphicity of harmonic maps from complex Finsler manifolds |
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zhouzunpeng
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School of Mathematics and Statistics,Wuhan University
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| Abstract: |
| In this paper, we derived the K¨ahler condition of the Hermitian metric induced by complex
Finsler metric. Applying Siu’s ?ˉ ? Bochner type trick, we obtained the holomorphicity and
pluri-harmonicity of harmonic maps from complex Finsler manifold. |
| Key words: Holomorphic,Pluriharmonic,Complex Finsler manifolds, Harmonic maps |