研究了4维Lorentz-Minkowski空间中,非类光曲线的曲率能量作用的极值曲线.求出了一般弹性曲线的运动方程和3个沿着一般弹性曲线的Killing场,用这些Killing场建立了一个柱面坐标系并用积分表示了一般弹性曲线.
The extremals of curvature energy actions on non-null curves in 4-dimensional Lorentz- Minkowski space are studied. The motion equations were worked out and three Killing fields along the generalized elastic curves were found. A cylindric coordinate system by using these Killing fields was constructed and the generalized elastic curves by quadratures were expressed.