二维流形上连续流的一个整体性质

A Global Behavior of Continuous Flows on Closed 2- manifolds

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。

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.