| Sasakian空间形式的积分子流形的内蕴刚性 |
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| 引用本文： | 孔淑兰,杨明升.Sasakian空间形式的积分子流形的内蕴刚性[J].曲阜师范大学学报,1998,24(2):47-50. |
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| 作者姓名： | 孔淑兰 杨明升 |
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| 作者单位： | 曲阜师范大学数学系 |
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| 摘 要： | 利用活动标架法研究Ｓａｓａｋｉａｎ空间形式的积分子流形的内蕴刚性，得到了优于Ｂｌａｉｒｓ’的一个Ｐｉｎｃｈｉｎｇ条件，并用不同于Ｍａｅｄａ’ｓ的方法证明了Ｍａｅｄａ的一个Ｐｉｎｃｈｉｎｇ定理。
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| 关 键 词： | 积分子流形 Ricci曲率 Sasakian空间 内蕴刚性 |
INTRINSIC RIGIDITY FOR INTEGRAL SUBMANIFOLDS OF A SASAKIAN SPACE FORM |
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| Kong Shulan,Yang Mingsheng.INTRINSIC RIGIDITY FOR INTEGRAL SUBMANIFOLDS OF A SASAKIAN SPACE FORM[J].Journal of Qufu Normal University(Natural Science),1998,24(2):47-50. |
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| Authors: | Kong Shulan Yang Mingsheng |
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| Abstract: | Intrisic rigidity for integral submanifolds of a sasakian space form is discussed by the moving frames. The pinching condition which is better than Blair's condition is given. Maeda's pinching theorem is proved by the method which is different form Maeda's. |
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| Keywords: | Totally geodesic integral submanifold Ricci curvature the second fundmental form |
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