吴炳烨.具有两个不同Ricci主曲率的局部共形平坦Riemann流形[J].数学年刊A辑,2011,32(1):71~82
具有两个不同Ricci主曲率的局部共形平坦Riemann流形
Locally Conformally Flat Riemannian Manifolds with Two Distinct Principal Ricci Curvatures
  
DOI:
中文关键词:  局部共形平坦  Ricci张量  Schouten张量  Schouten主曲率  m阶Schouten曲率  
英文关键词:Locally conformally flat  Ricci tensor  Schouten tensor  Principal Schouten curvature  m-th Schouten curvature  
基金项目:福建省自然科学基金(No.2010J01009)资助的项目
Author NameAffiliationE-mail
WU Bingye Department of Mathematics,Minjiang University,Fuzhou 350108,China. bingyewu@yahoo.cn 
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中文摘要:
      得到了具有常$m$阶Schouten曲率与两个不同Schouten主曲率(或者等价地, 两个不同Ricci主曲率)的完备局部共形平坦Riemann流形的分类结果. 作为应用, 得到了若干Schouten张量的pinching性质.
英文摘要:
      The author obtains the classification result for complete locally conformally flat Riemannian manifold of constant $m$-th Schouten curvature and two distinct principal Schouten curvatures (or equivalently, two distinct principal Ricci curvatures). As its applications, some pinching properties for the Schouten tensor are obtained.
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