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Kehler-Einstein流形上的Rastogi联络 被引量:2

On Rastogi Connections in Kehler-Einstein Manifolds
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摘要 用Rastogi方法研究Kehler-Einstein流形M上的Rastogi联络-■,证明了-■的拟共形曲率张量为0时,M拟共形平坦,进一步推广了Rastogi与胡聪娥的主要结果。 In this paper, the Restogi connections △↓ in the Kaehler-Einstein manifold M is studied, with the method of Rastogi, it proves that M is of quasi-conformal flat if the quasi-conformal curvature tensor of △↓ is 0, the main results on quarter-symmetric metric connections of Rastogi S.C. and Hu Cong'e are generaliged.
出处 《河南大学学报(自然科学版)》 CAS 北大核心 2007年第5期441-443,共3页 Journal of Henan University:Natural Science
基金 河南省教育厅自然科学基金资助项目(20021100002200510475038)
关键词 Kaehler-Einstein流形 1/4对称度量联络 拟共形曲率 Kaehler-Einstein manifolds quarter-symmecric metric connections quasi conformal curvature
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参考文献6

  • 1Golab S,On Semi-symmetric and quarter-symmetric linear connections[J].Tensor N S,1975,29:249-254.
  • 2Mishra R.S.and Dardey S.N.On guarter-symmetric metric F-connections[J].Tensor N S,1980,34:1-7.
  • 3Yano K,and Imai T.Quarter symmetric connections and their curvature tensors[J].Tensor N S,1982,38:13-18.
  • 4Rastogi S C,On quarter-symmetric metric connection[J].Comptes Rendus delacad Bulgar des Science press,1978,31:811-814.
  • 5胡聪娥.关于1/4对称度量联络的推广[J].河南大学学报(自然科学版),1996,26(3):4-8. 被引量:1
  • 6宋鸿藻 关报强.K(a)ehler流形上的1/4对称曲率.河南大学学报,1986,(4):11-16.

二级参考文献1

同被引文献13

  • 1Rastogi S.C. On quarter-symmetric connections[J]. Tensor N. S, 1987, 44:133-141.
  • 2Golab S. On Semi-symmetric and quarter symmetric linear connections[J]. Tensor N. S, 1975, 29: 249-254.
  • 3Mishra R. S. and Pardey S. N. On quarter-symmetric metric F-connections[J] Tensor N. S, 1980, 34: 1-7.
  • 4Yano K. and Imai T. Quarter-symmetric connections and their curvature tensors[J]. Tensor N. S, 1982, 38: 13-18.
  • 5Rastogi S.C. On quarter-symmetric metric connections[J]. Comptes Rendus delacad Bulgardes Science Press, 1978, 31: 811-814.
  • 6Rastogi S.C. On quarter-symmetric linear connections[J]. C.R. Acad. SCI. Bulgar, 1985, 38: 985-988.
  • 7Golab S.On semi-symmetric and quarter symmetric limear connections[J].Tensor,N.S.,1975,29:249-254.
  • 8Mishra R S and Pardey S N.On quarter symmetric metric F-connections[J].Tensor,N.S.,1980,34:1-7.
  • 9Yano K and Imai T.Quarter symmetric connections and their curvature tensors[J].Tensor N.S.,1982,38:13-18.
  • 10Rastogi S C.On quarter-symmetric metric connection[J].Comptes Rendus de lacad Bulgar des Science,1978,31:811-814.

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