THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS
文献类型：期刊论文
| 作者 | GONG, S; YU, QH |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES
 |
| 出版日期 | 1995-09-01 |
| 卷号 | 38期号:9页码:1033-1048 |
| 关键词 | SCHWARZIAN DERIVATIVE KAHLER MANIFOLD HOLOMORPHIC MAPPING |
| ISSN号 | 1001-6511 |
| 英文摘要 | Let f be a holomorphic immersion which maps a Kahler manifold into a Kahler manifold of the same dimension. A Schwarzian derivative S-f of f is proposed. It is proved that: i) if S-f=0 and S-theta=0, then S-f . g=0; ii) if the real part of the Schwarzian derivative off on a convex domain in the Kaler manifold is bounded above, then f is an embedding. The upper bound is related to the holomorphic sectional curvature of the domain. This second theorem is an extension of Nehari's criterion of univalence. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:A1995RY44400002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/28547]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | GONG, S |
| 作者单位 | CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA |
| 推荐引用方式 GB/T 7714 | GONG, S,YU, QH. THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES,1995,38(9):1033-1048. |
| APA | GONG, S,&YU, QH.(1995).THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES,38(9),1033-1048. |
| MLA | GONG, S,et al."THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES 38.9(1995):1033-1048. |
入库方式： OAI收割
来源：数学与系统科学研究院
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