Abstract:

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 revolution 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.

Key words:  Minkowski space; Gauss map; surface of revolution; Laplace operator