Khler流形的几个判定定理  

Several judging theorems of Khler manifold

作　　者：杨永举[1] 

机构地区：[1]南阳师范学院数学与统计学院,河南南阳473061

出　　处：《南阳师范学院学报》2010年第12期9-11,共3页Journal of Nanyang Normal University

基　　金：河南省基础与前沿技术研究计划项目(092300410220);南阳师范学院专项项目(nytc2005k37)

摘　　要：利用Khler流形的有关理论知识,证明了满足共形数量曲率张量与数量曲率张量之差为定号的条件下,紧致的局部共形Khler流形在黎曼联络条件下一定是流形,并由此得出判断Khler流形的两种具体方法.By applications of theory of Khler manifold,we mainly prove that under the condition of Riemannian connection,a locally conformal compact Khler manifold is Khler manifold provided that the difference of its conformal scalar and scalar curvature tensor is constant sign.And then we get methods which we could determine whether two kind of concrete Hermitian manifolds is Khler manifold.

关 键 词：局部共形Khler流形 Khler流形 共形数量曲率 

分 类 号：O174.56[理学—数学]