| 万建明.调和复结构[J].数学年刊A辑,2009,30(6):761~764 |
| 调和复结构 |
| Harmonic Complex Structures |
| Received:April 22, 2009 |
| DOI： |
| 中文关键词: 调和形式, 近复结构 |
| 英文关键词:Harmonic forms, Almost complex structures |
| 基金项目: |
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| 中文摘要: |
| 利用向量丛值微分形式的调和理论来研究近复结构, 称之为调和复结构, 它是介于复结构与 K?hler结构之间的一种新结构.特别地,证明了S6上不允许此种结构. |
| 英文摘要: |
| The author uses harmonic theory for vector bundle-valued differential forms to study the almost complex structure, which is called a harmonic complex structure, a new structure intermediate between complex structure and K?hler structure. Especially, it is proved that S6 with standard metric can not admit any harmonic complex
structure. |
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