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调和复结构
引用本文:万建明.调和复结构[J].数学年刊A辑,2009,30(6).
作者姓名:万建明
作者单位:浙江大学数学科学中心,杭州,310027
摘    要:利用向量从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(a)hler结构之间的一种新结构.特别地,证明了S~6上不允许此种结构.

关 键 词:调和形式  近复结构

Harmonic Complex Structures
WAN Jianming.Harmonic Complex Structures[J].Chinese Annals of Mathematics,Series A,2009,30(6).
Authors:WAN Jianming
Abstract: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 Kahler structure. Especially, it is proved that S~6 with standard metric can not admit any harmonic complex structure.
Keywords:Harmonic forms  Almost complex structures
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