P－Sasakian流形是局部积流形的超曲面  

P-Sasakian Manifolds are hypersurfaes

作　　者：梁希泉[1] 刘西民[1] 

机构地区：[1]东北师范大学数学系

出　　处：《东北师大学报（自然科学版）》1996年第3期1-3,共3页Journal of Northeast Normal University(Natural Science Edition)

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．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.

关 键 词：P-SASAKIAN流形 局部积流形 超曲面 黎曼流形 

分 类 号：O186.11[理学—数学]