论文摘要
本文讨论了四维Lorentz空间形式中非零曲线的粒子模型.对于任意依赖于第一曲率K1和第二曲率K2的Lagrange作用的泛函：∫γf（k1,k2）ds,求出了相对论粒子的Euler-Lagrange运动方程,构造出一个沿着极值曲线的Killing向量场；然后在三维Lorentz空间形式中构造出两个Killing场,并找到了这两个Killing场满足的首次积分,进而对o（4,2）的代表元进行讨论并求出了相应的极值曲线的参数方程.
论文目录
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