THE ASSOCIATED FAMILIES OF SEMI-HOMOGENEOUS COMPLETE HYPERBOLIC AFFINE SPHERES
文献类型：期刊论文
| 作者 | Lin, Zhicheng1; Wang, Erxiao2 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2016-05-01 |
| 卷号 | 36期号:3页码:765-781 |
| 关键词 | hyperbolic affine spheres isothermal coordinates Weierstrass elliptic functions Monge-Ampere equation Tzitzeica equation |
| 英文摘要 | Hildebrand classified all semi-homogeneous cones in R-3 and computed their corresponding complete hyperbolic affine spheres. We compute isothermal parametrizations for Hildebrand's new examples. After giving their affine metrics and affine cubic forms, we construct the whole associated family for each of Hildebrand's examples. The generic member of these affine spheres is given by Weierstrass P, zeta and sigma functions. In general any regular convex cone in R-3 has a natural associated S-1-family of such cones, which deserves further studies. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | TRANSFORMATION ; MANIFOLDS ; EQUATION ; METRICS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000376223400011 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9346]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lin, Zhicheng,Wang, Erxiao. THE ASSOCIATED FAMILIES OF SEMI-HOMOGENEOUS COMPLETE HYPERBOLIC AFFINE SPHERES[J]. ACTA MATHEMATICA SCIENTIA,2016,36(3):765-781. |
| APA | Lin, Zhicheng,&Wang, Erxiao.(2016).THE ASSOCIATED FAMILIES OF SEMI-HOMOGENEOUS COMPLETE HYPERBOLIC AFFINE SPHERES.ACTA MATHEMATICA SCIENTIA,36(3),765-781. |
| MLA | Lin, Zhicheng,et al."THE ASSOCIATED FAMILIES OF SEMI-HOMOGENEOUS COMPLETE HYPERBOLIC AFFINE SPHERES".ACTA MATHEMATICA SCIENTIA 36.3(2016):765-781. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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