共形平坦的切触度量流形上关于其半对称度量联络的一些结果 |
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引用本文: | 潘全香,王玉光. 共形平坦的切触度量流形上关于其半对称度量联络的一些结果[J]. 新乡学院学报(自然科学版), 2009, 26(6): 1-2 |
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作者姓名: | 潘全香 王玉光 |
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作者单位: | 潘全香(河南科技学院,数学系,河南,新乡,453003);王玉光(宁夏大学,数学计算机学院,宁夏,银川,750021) |
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摘 要: | 利用共形平坦的切触度量流形上的*-Ricci算子Ric^*的表达式,得到了Ric^*和其半对称度量联络 的Ric^*之间的关系,还给出(α,β)型近trans—Sasakian流形关于半对称度量联络 是(α,β+1)型的结果。
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关 键 词: | (α,β)型近trans—Sasakian流形 *-Ricci算子 半对称度量联络 |
Some Results of Semi-symmetric Metric Connection on the conformally flat Contact Metric Manifold |
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Affiliation: | PAN Quan-xiang, WANG Yu-guang (1. Department of Mathematics, Henan Institute of Science and technology, Xinxiang 453003, China; 2. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China) |
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Abstract: | By using the expression of *-Ricci operator on conformally flat contact metric manifold, we obtain the relationship between Ric^* and Ric^* and draw the conclusion that near trans-Sasakian manifold of type(α,β)is near trans-Sasakian manifold of type (α,β+1) with respect to the semi-symmetric metric connection. |
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Keywords: | nearly trans-Sasakian manifold of type(α,β) *-Ricci operator semi-symmetric metric connection |
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