| 关于复流形及其子流形 |
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| 引用本文： | 毛小兵. 关于复流形及其子流形[J]. 湖北民族学院学报(自然科学版), 2003, 21(1): 19-22 |
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| 作者姓名： | 毛小兵 |
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| 作者单位： | 江西财经大学信息管理学院 江西南昌330013 |
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| 基金项目： | 江西省自然科学基金资助项目 ( 0 0 110 0 5 ) |
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| 摘 要： | 对复流形及其子流形上的研究作了比较详细的介绍，从复流形的3个研究分支：全纯子流形、全实子流形和CR—子流形入手，分别介绍了3个流形的定义以及这3种子流形目前的研究动态，并且指出了一些目前尚未解决的问题，其次对外围空间为不定复流形的子流形理论也作了一定的介绍．
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| 关 键 词： | 复流形 全纯子流形 全实子流形 CR－子流形 黎曼几何 CR－乘积 |
| 文章编号： | 1008-8423(2003)01-0019-04 |
| 修稿时间： | 2002-10-08 |
Complex Manifolds and it''''s Submanifolds |
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| MAO Xiao-bing. Complex Manifolds and it''''s Submanifolds[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2003, 21(1): 19-22 |
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| Authors: | MAO Xiao-bing |
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| Abstract: | In this paper we introduce the research of complex manifolds and it's submanifolds in detail.We begin it with three branches,which is called Holomorphic submanifold,Anti-invariant submanifold,CR-submanifold,to introduce the definitions of the three types of submanifolds and the present trends of research which is based on the three types of submanifolds,and we point out some problems that did not solve up to now.We also provide some information about the theory of submanifold,which outside space is indefinite complex manifold. |
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| Keywords: | Kaehler manifold holomorphic submanifold anti-invariant submanifold CR-subamanifold CR-product |
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