摘要
利用Khler流形的有关理论知识,证明了满足如下两个条件的紧致艾米特面在黎曼联络条件下一定是Khler面:(1)具有J-不变Ricci张量;(2)数量曲率与*型数量曲率之差为常数.并由此得出两类具体艾米特面为Khler面的判定方法.
By applications of theory of Kahler manifold, we mainly prove that under the condition of Riemannian connection, a compact Hermitian surface with J-invariant Ricci tensor is Kathler surfaces provided that the difference of its scalar and ＊ - scalar curvature is constant. We get method which we could determine whether two kind of concret Hermitian is Kahler surface.
出处
《南阳师范学院学报》
CAS
2009年第6期17-19,共3页
Journal of Nanyang Normal University
基金
南阳师范学院专项项目(nytc2005k37)
