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| 复流形上的CR-子流形 | |
| 引用本文： | 毛小兵,冉耀华. 复流形上的CR-子流形[J]. 湖北民族学院学报(自然科学版), 2003, 21(3): 17-20 |
| 作者姓名： | 毛小兵 冉耀华 |
| 作者单位： | [1]江西财经大学信息管理学院，江西南昌330013 [2]利川市谋道初中，湖北利川445415 |
| 基金项目： | 江西省自然科学基金(0011005). |
| 摘 要： | 利用不变形式的方法对复流形上的CR-子流形进行了一定的研究，首先考虑外围空间是复空间型的情形，得到了子流形是平坦流形或CR-乘积的条件，进一步考虑外围流形为更一般的不定复空间型，得到了它的子流形是全纯子流形和类空全纯子流形的条件。 |
| 关 键 词： | 复空间型 全纯子流形 CR-子流形 CR-乘积 类空子流形 |
| 文章编号： | 1008-8423(2003)03-0017-04 |
| 修稿时间： | 2003-01-15 |
CR-Submanifolds of a Complex Manifold |
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| MAO Xiao - bing,RAN Yao - hua. CR-Submanifolds of a Complex Manifold[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2003, 21(3): 17-20 | |
| Authors: | MAO Xiao - bing RAN Yao - hua |
| Abstract: | In this paper we study CR - submanifolds of a complex manifold using the method of the invariant form. First, we obtain the condition that a submanifold is a flat manifold or CR - product on the condition that peripheral space is a complex space form. Furthermore, we get the condition that its submanifold is holomorphic submanifold and space - like submanifold under the condition that peripheral manifold is indefinite complex space form. |
| Keywords: | complex space form holomorphic submanifold CR - submanifold CR - product space like submanifold |
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