| Kenmotsu流形的不变子流形 |
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| 引用本文： | 王佳.Kenmotsu流形的不变子流形[J].西南师范大学学报(自然科学版),1992,17(1):27-31. |
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| 作者姓名： | 王佳 |
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| 作者单位： | 西南师范大学数学系 重庆630715 |
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| 摘 要： | 主要对Kenmotsu流形的不变子流形和反不变子流形进行讨论,得到了以下两个主要结论:1.若M是具有常截面曲率C的Kenmotsu空间型(?)(C)的不变子流形,则M全测地的充要条件为M也具有常截面曲率C.2.若M~(n+1)是Kenmotsu流形M~(2n+1)的反不变子流形,则M的法联络平坦当且仅当M有常曲率C=-1.
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| 关 键 词： | Kenmotsu流形 不变子流形 空间型 |
IN VARIANT SUBMANIFOLDS OF A KENMOTSU MANIFOLD |
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| Wang Jia.IN VARIANT SUBMANIFOLDS OF A KENMOTSU MANIFOLD[J].Journal of Southwest China Normal University(Natural Science),1992,17(1):27-31. |
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| Authors: | Wang Jia |
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| Abstract: | In this paper. The following two main results was proued.i ) Let M be an invariant submanifolci of a Kcnrnotsu space form M ( C ) with constant -sectional curvature C.Then M is totally geodesic if and only if M is of constant -sectional curvature C.ii ) Let M be an (n+1)-dimensional anti-invariant submanifold, tangent to the structure vector field , of a (2n + l)-dimensional Kenmotsu manifoldM. Then the nornal connection of M is flat if and only if M is of constant curvature -i. |
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| Keywords: | Kenmotsu manifold invariant snbmanifold anti-invariant sectional cnrvatnre space form |
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