F-VECTORFIELDS ON TWO-MANIFOLDS

Citation:

Ghen Yiyuan(陈一元).F-VECTORFIELDS ON TWO-MANIFOLDS[J].Chinese Annals of Mathematics B,1992,13(1):6~15
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Authors:

Ghen Yiyuan(陈一元);
Abstract: The concept of P-vectorfields on two-manifolds is introduced and some properties of P-veotorfields are proved. Particularly, it is shown that some P-vectorfields on the torus have no nontrivial recurrent orbits. Also, the absence of closed orbits for the left invariant vectorfields on two-dimensional Lie group is discussed.

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