| Sasakian 空间型中切触分布的伪脐积分子流形 |
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| 引用本文： | 王新民,舒世昌.Sasakian 空间型中切触分布的伪脐积分子流形[J].陕西师范大学学报,1995(2). |
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| 作者姓名： | 王新民 舒世昌 |
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| 作者单位： | 陕西师范大学数学系，咸阳师范专科学校数学系 |
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| 摘 要： | 研究了Ｓａｓａｋｉａｎ空间型中切触分布的积分子流形，得到了伪脐积分子流形的两个内蕴刚性定理，作为推论得到：设Ｍ是Ｍ２ｎ＋１（ｃ）（ｃ＞－３）中紧致极小积分子流形，如果，则Ｍ全测地．
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| 关 键 词： | 黎曼几何 Sasakian空间型 切触分布 伪脐积分子流形 |
On pseudo-umbilical integral submanifolds of a contact distribution of Sasakian space form |
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| Wang Xinmin, Shu Shichang.On pseudo-umbilical integral submanifolds of a contact distribution of Sasakian space form[J].Journal of Shaanxi Normal University: Nat Sci Ed,1995(2). |
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| Authors: | Wang Xinmin Shu Shichang |
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| Abstract: | The integral submanifolds of a contact distribution of Sasakian space form is studied. Two intrisic rigidity theorems of the psetldo-umbilited integral submanifolds are proved and the corollary is obtained.Let M be a compact minimal integral submanifold of a Sasakian space form M2n-1(c), If. Then M is totally geodesic. |
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| Keywords: | Riemann geometric Sasakian space form contact distribution pseudo umbilical integral submanifold |
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