余切丛上判定辛向量场的等价命题

EQUIVALENT PROPOSITIONS FOR JUDGING SYMPLECTIC VECTOR FIELD ON THE COTANGENT BUNDLE

本文给出了另一个判定余切丛上辛向量场的命题，并指出这个命题与原有的两个命题是等价的，最后用新判定方法对几个具体的向量场是或不是辛向量场作出判断。

In this paper,we put forward another proposition to judge symplectic vec- tor fields on the cotangent bundle T P. We also point out the proposition is equivalent to the original two propositions. At last,we judge by new method that some specific vector fields on T P is or is not symplectic vector field.