Pfaff约束可积的Euler形式的充分条件

On the Sufficient Condition of Pfaff Constraint Integrable Euler Form

研究Pfaff约束可积性问题.利用Pfaff约束可积的充分条件,给出Pfaff约束可积的Euler形式的充分条件———命题1.指出命题1的逆命题一般并不成立———命题2.举例说明命题1和命题2的应用.

Studies an integrable question of Pfaff constraint, utilizing the integrable sufficient condition of Pfaff constraint, giving an integrable sufficient conditions of the Euler form as Pfaff constraintproposition 1, and points out that the inverse-proposition of proposition 1 in general does not hold as proposition 2. Examples are given to explain the applications of proposition 1 and proposition 2.