中文摘要：

讨论R1^3中具有逐点l型高斯映射的第一类和第二类时间轴旋转曲面。证明了时间轴旋转曲面具有第一类逐点1型高斯映射，等价于该曲面的平均曲率为常数；非类光洛伦兹圆锥面是惟一具有第二类逐点1型高斯映射的有理类时间轴旋转曲面。

英文摘要：

The pointwise 1-type Gauss map of surface of revolution in Minkowski 3-space is introduced. The results state that timelike axis surfaces of revolution with pointwise 1-type Gauss map of first kind coincide with surfaces of rev-olution with constant mean curvature ; the nonlitelike Lorentzian right cones are the only rational timelike axis surfaces of revolution with pointwise 1-type Gauss map of the second kind.