On surfaces immersed in euclidean space r-4
文献类型：期刊论文
| 作者 | Peng ChiaKuei2; Tang ZiZhou1 |
| 刊名 | Science china-mathematics
 |
| 出版日期 | 2010 |
| 卷号 | 53期号:1页码:251-256 |
| 关键词 | Surface Normal euler number Quaternion multiplication |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-0004-z |
| 通讯作者 | Tang zizhou(zztang@mx.cei.gov.cn) |
| 英文摘要 | Let m be a closed oriented surface immersed in r-4. associated it one has the generalized gauss map from m into the grassmann manifold g(4,2). this note will be concerned with the geometry of the generalized gauss map by using the moving frame theory and the quaternion interpretation of plucker coordinates. as one of consequences, we get the celebrated theorem of chern and spanier, ho. man and osserman, who proved it by quite different methods. at last, we give an explicit construction of a series of immersions of s-2 in r-4 with any given normal euler number. |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000276546200022 |
| 出版者 | SCIENCE PRESS |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2415170 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Tang ZiZhou |
| 作者单位 | 1.Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Peng ChiaKuei,Tang ZiZhou. On surfaces immersed in euclidean space r-4[J]. Science china-mathematics,2010,53(1):251-256. |
| APA | Peng ChiaKuei,&Tang ZiZhou.(2010).On surfaces immersed in euclidean space r-4.Science china-mathematics,53(1),251-256. |
| MLA | Peng ChiaKuei,et al."On surfaces immersed in euclidean space r-4".Science china-mathematics 53.1(2010):251-256. |
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来源：中国科学院大学
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