调和复结构  

Harmonic Complex Structures

作　　者：万建明[1] 

机构地区：[1]浙江大学数学科学中心

出　　处：《数学年刊（A辑）》2009年第6期761-764,共4页Chinese Annals of Mathematics

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(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.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 Kǎhler structure. Especially, it is proved that S^6 with standard metric can not admit any harmonic complex structure.

关 键 词：调和形式 近复结构 

分 类 号：O186.16[理学—数学]