| Sasakian空间形式中具有平行平均曲率向量的C-全实子流形的刚性定理 |
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| 引用本文： | 刘继志,宣满友. Sasakian空间形式中具有平行平均曲率向量的C-全实子流形的刚性定理[J]. 北京师范大学学报(自然科学版), 2004, 40(6): 752-756 |
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| 作者姓名： | 刘继志 宣满友 |
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| 作者单位： | 1. 北京师范大学数学系,100875,北京
2. 绍兴文理学院数学系,312000,浙江,绍兴 |
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| 摘 要： | 讨论了Sasakian空间形式中具有平行平均曲率向量的C-全实子流形,得到了紧致的C-全实子流形的一个刚性结果.
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| 关 键 词： | Sasakian空间形式 平行平均曲率向量 C-全实子流 全脐子流形 |
| 修稿时间： | 2004-08-20 |
A RIGIDITY THEOREM FOR C-TOTALLY REAL SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR OF A SASAKIAN SPACE FORM |
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| Liu Jizhi Xuan Manyou. A RIGIDITY THEOREM FOR C-TOTALLY REAL SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR OF A SASAKIAN SPACE FORM[J]. Journal of Beijing Normal University(Natural Science), 2004, 40(6): 752-756 |
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| Authors: | Liu Jizhi Xuan Manyou |
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| Abstract: | The C-totally real submanifolds with parallel mean curvature vector of a sasakian space form, are discussed. As a result, a rigidity theorem for compact C-totally real submanifolds is obtained. |
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| Keywords: | Sasakian space form parallel mean curvature vector C-totally real submanifolds totally umbilical submanifold |
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