| 容有m－维曲面族的QE（B~λ_p）流形的一些性质 |
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| 引用本文： | 上官灵喜.容有m－维曲面族的QE（B~λ_p）流形的一些性质[J].河南师范大学学报(自然科学版),1995(4). |
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| 作者姓名： | 上官灵喜 |
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| 作者单位： | 河南师范大学数学系 |
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| 基金项目： | 河南省教委自然科学基金 |
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| 摘 要： | 本文拓广了Ｅ流形，并研究了这类容有某种ｍ－维曲面族的Ｒｉｃｍａｎｎ流形的一些性质．进一步导出了在Ｒｉｃｃｉ对称及半对称条件下，这种拓广的Ｅ流形为Ｅｉｎｓｔｅｉｎ或其法矢所满足的条件，以及一般情况下单位法矢为桡形场的必要条件．
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| 关 键 词： | 拟Einstcin流形 Ricci对称 Ricci循环 桡形场 |
Some Properties of-Manifold Which Contains m-dimensional Family of Surfaes |
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| Shangguan Lingxi.Some Properties of-Manifold Which Contains m-dimensional Family of Surfaes[J].Journal of Henan Normal University(Natural Science),1995(4). |
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| Authors: | Shangguan Lingxi |
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| Abstract: | The present paper developes the notion of E-manifold which contains certainm-dimensional familly of surfaces and its some propertics arc investigated. Furthermore,we prove thatthis kind of E-manifold is an Enstin-Manifold or the unit normal vectors satisfy certain conditionsunder Ricci-symmetric and semi-symmetrie respectively,finally we characterize a unit normal vectorwhich is torsion formal field. |
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| Keywords: | Quasi-Einsteinian manifold Ricci-symmetric Ricci-recurrent torsion formal field |
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