Minimal two-spheres with constant curvature in the complex hyperquadric
文献类型：期刊论文
| 作者 | Peng, Chiakuei1; Wang, Jun2,3; Xu, Xiaowei4,5 |
| 刊名 | Journal de mathematiques pures et appliquees
 |
| 出版日期 | 2016-09-01 |
| 卷号 | 106期号:3页码:453-476 |
| 关键词 | Minimal two-spheres Constant curvature Kahler angle Totally geodesic |
| ISSN号 | 0021-7824 |
| DOI | 10.1016/j.matpur.2016.02.017 |
| 通讯作者 | Xu, xiaowei(xwxu09@ustc.edu.cn) |
| 英文摘要 | In this paper, various constant curved minimal two-spheres in the complex hyperquadric q(n) are obtained, which exhaust all the minimal homogeneous ones in q(n). their geometric quantities of gauss curvature, kahler angle and the length of the second fundamental form are expressed explicitly. as an application, the totally geodesic, constant curved holomorphic and antiholomorphic two-spheres in q(n) are completely classified. (c) 2016 elsevier masson sas. all rights reserved. |
| WOS关键词 | PSEUDO-HOLOMORPHIC CURVES ; HARMONIC MAPS ; GRASSMANN MANIFOLDS ; SURFACES ; IMMERSIONS ; CLASSIFICATION ; SPHERES ; S2 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000380592800003 |
| 出版者 | ELSEVIER SCIENCE BV |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2374497 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Xu, Xiaowei |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China 3.Nanjing Normal Univ, Inst Math, Nanjing 210023, Jiangsu, Peoples R China 4.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China 5.Chinese Acad Sci, USTC, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China |
| 推荐引用方式 GB/T 7714 | Peng, Chiakuei,Wang, Jun,Xu, Xiaowei. Minimal two-spheres with constant curvature in the complex hyperquadric[J]. Journal de mathematiques pures et appliquees,2016,106(3):453-476. |
| APA | Peng, Chiakuei,Wang, Jun,&Xu, Xiaowei.(2016).Minimal two-spheres with constant curvature in the complex hyperquadric.Journal de mathematiques pures et appliquees,106(3),453-476. |
| MLA | Peng, Chiakuei,et al."Minimal two-spheres with constant curvature in the complex hyperquadric".Journal de mathematiques pures et appliquees 106.3(2016):453-476. |
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来源：中国科学院大学
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