三维Minkowski空间中类空轴旋转曲面的分类

Classification of Surfaces of Revolution with Space Like Axis in Minkowski 3- space

研究了三维Minkowski空间中满足△G=φ（G＋C）条件的类空轴旋转曲面，并给出了该类曲面的分类．主要结论为上述条件中当C为零向量时该曲面拥有常值平均曲率；当C为非零向量时，该曲面或是一类圆锥面、或是二类圆锥面．

The present paper study the space like axis surfaces of revolution under the condition △G=φ（G＋C） in Minkowski 3-space. Main results state that surface of revolution M satisfy the condition, then M has constant mean curvature when C is zero; The 1st and 2nd kind of right cones are the only space like axis surfaces of revolution satisfying the condition when C in not zero.