| 二维流形上连续流的一个整体性质 |
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| 引用本文： | 钱宗铿.二维流形上连续流的一个整体性质[J].数学研究与评论,1995,15(2):253-256. |
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| 作者姓名： | 钱宗铿 |
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| 作者单位： | 石家庄陆军学院 |
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| 摘 要： | 本文研究闭二维流（闭曲面）上的连续流，证明了正半轨线ω极限集的一个世质，其中定理１是平面定性理论小ｐｏｉｎｃａｒｅ－Ｂｅｎｄｉｘｓｏｎ定理对二维流形的推广。
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| 关 键 词： | 二维流形 连续流 ω极限集 极小集。 |
| 收稿时间： | 1992/6/24 0:00:00 |
| 修稿时间： | 1994/3/24 0:00:00 |
A Global Behavior of Continuous Flows on Closed 2- manifolds |
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| Qian Zongkeng.A Global Behavior of Continuous Flows on Closed 2- manifolds[J].Journal of Mathematical Research and Exposition,1995,15(2):253-256. |
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| Authors: | Qian Zongkeng |
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| Institution: | Shijiazhuang Army Academy; 050083 |
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| Abstract: | We prove a global behavior of continuous flows on closed 2-manifolds and give a char-acterization of w-limit set of positive half-trajectories which is a generalization of thePoincare- Bendixson theorem in the plane qualitative theory to the 2-manifolds. |
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| Keywords: | continuous flow manifold Poincare-Bendixson theorem |
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