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H一射影循环Kaehler流形
引用本文:李中林.H一射影循环Kaehler流形[J].浙江大学学报(理学版),1994,21(1):16-19.
作者姓名:李中林
作者单位:杭州大学数学与信息科学系
摘    要:本文研究H一射影循环Kaehler流形的性质,导出了该流形曲率张量的代数结构,从而深化了这类流形的已有结果。

关 键 词:Kaehler流形  曲率张量  H射影循环

H-Projective Recurrent Kaehler Manifolds
Li Zhonglin.H-Projective Recurrent Kaehler Manifolds[J].Journal of Zhejiang University(Sciences Edition),1994,21(1):16-19.
Authors:Li Zhonglin
Institution:Department of Mathematics and Information Science
Abstract:In this paper we establish the following main result.Theorem. In any H-projective recurrent Kaehler manifold HK , the curvature tensor can be ex-pressed by the vector of recurrent and its associated vector with respect to the complex structure tensorin the following wayor it can be given in terms of the recurrent vector and the Ricci tensor by the formIf the scalar curvature of HK manifold is different from zero,then the curvature tensor has the from or
Keywords:H-projective recurrent  Kaehler manifold  curvature tensor  Ricci tensor  complex structure tensor  recurrent vector  
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