Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (2): 101-105.

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Second Order Parallel Tensors on Quasi-constant Curvature Manifolds

  

  1. 河南大学数学与信息科学学院 河南开封475001 
  • Received:2002-03-17 Online:2002-06-30 Published:2024-05-10
  • About author:JIA Xing-qin(1950-),female,native of Shangqiu,Henan,an associate professor of Henan University,engages in differential geometry.
  • Supported by:
    Supported by the Natural Science Foundation of Henan Eduational Committee

Abstract: 本文证明了如下结果 :( 1 )在一个拟常曲率流形M上 ,[0 ,2 ]型平行张量是度量张量的常数倍。 ( 2 )在拟常曲率流形M上 ,不存在非零平行 2_形式。除非对应于M的生成元的Ricci主曲率等于零。

Key words:  拟常曲率流形;二阶平行张量;平行2_形式, 基金资助: 

CLC Number: