中文摘要：

伪零曲线与偏零曲线在物理学研究中起着非常重要的作用.通过伪向量积与Frenet方程,可得伪零曲线与偏零曲线的微分几何性质;局部上,通过曲率等几何量可以描述子流形与伪球的切触;同时给出伪零曲线与偏零曲线的AW（k）型存在条件.

英文摘要：

Pseudo null curves and partially null curves have important physical meanings.Via the pseudo-scalar product and Frenet equations,the differential geometry of pseudo null curves and partially null curves is obtained.In local sense,the curvature and other geometric quantity can describe the contact of submanifolds with pseudo-spheres.On the other hand,the existence conditions of pseudo null curve and partially null curves are given.