| P－Sasakian流形是局部积流形的超曲面 |
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| 引用本文： | 梁希泉,刘西民.P－Sasakian流形是局部积流形的超曲面[J].东北师大学报(自然科学版),1996(3). |
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| 作者姓名： | 梁希泉 刘西民 |
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| 作者单位： | 东北师范大学数学系 |
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| 摘 要： | 四元数Ｋａｈｌｅｒ流形受到极大的关注，经常出现在数学与数学物理的不同的领域中．一类黎曼－爱因斯坦流形的几何及拓扑性质与四元数Ｋａｈｌｅｒ流形密切相关，这些流形都具有Ｓａｓａｋｉａｎ结构，特别在一个具有正数量曲率的四元数Ｋａｈｌｅｒ流形上的ＳＯ（３）－主丛上，存在Ｓａｓａｋｉａｎ结构．通过对已有结果进一步的研究，证明了每一个Ｐ－Ｓａｓａｋｉａｎ流形都是某一个局部积流形的超曲面．
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| 关 键 词： | P－Sasakian流形 局部积流形 超曲面 |
P-Sasakian Manifolds are hypersurfaes |
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| Liang Xiquan,Liu Ximin.P-Sasakian Manifolds are hypersurfaes[J].Journal of Northeast Normal University (Natural Science Edition),1996(3). |
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| Authors: | Liang Xiquan Liu Ximin |
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| Abstract: | Quaternionic Kahler manifolds have received a great deal of attention,theyappear in many different areas of mathematics and mathematical physics.The geometryand topology of a class of Riemannian Einstein manifolds that is closely related toquaternionic Kahler manifolds,these manifolds,known as manifolds wlth Sasakianstructure,studing furthur,there prove that every P-Sasakian manifald is a hypersurfaceofsome locally product Rlemannian manifold. |
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| Keywords: | P-Sasakian manifold locally ptoduCt manifold hypersurface |
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