| Complex Polynomial Vector Fields Having a Finitely Curved Orbit |
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| 作者姓名： | B. SCARDUA |
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| 作者单位： | Instituto de Matemdtica, C.P. 68530, Universidade Federal do Rio de Janeiro, 21945-970 Rio de Janeiro - R J, Brazil |
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| 摘 要： |
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| 关 键 词： | 全纯映射 Huber-Osserman理论 有限曲线轨道 复合多项式 |
| 收稿时间： | 2005-11-07 |
| 修稿时间： | 2007-05-09 |
Complex Polynomial Vector Fields Having a Finitely Curved Orbit |
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| B. SCARDUA.Complex Polynomial Vector Fields Having a Finitely Curved Orbit[J].Acta Mathematica Sinica,2007,23(12):2247-2252. |
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| Authors: | B Scárdua |
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| Institution: | (1) Instituto de Matemática, C.P. 68530, Universidade Federal do Rio de Janeiro, 21945–970 Rio de Janeiro, RJ, Brazil |
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| Abstract: | The author proves that a non-singular polynomial vector field without invariant lines and having an entire finitely curved transcendent orbit on C^2 must be equivalent to a trivial vector field by a holomorphic change of coordinates. Other classification results are obtained for polynomial vector fields having a finitely curved orbit on C^2. |
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| Keywords: | holomorphic foliation minimal immersion Huber-Osserman theorem |
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