摘要
利用Khler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Khler流形在黎曼联络条件下一定是流形,并由此得出判断Khler流形的两种具体方法.
By applications of theory of Khler manifold,we mainly prove that under the condition of Riemannian connection,a locally conformal compact Khler manifold is Khler 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 Khler manifold.
出处
《南阳师范学院学报》
CAS
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)
