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In the present paper we consider a special class of spacelike surfaces in theMinkowski 4-space which are one-parameter systems of meridians of therotational hypersurface with timelike or spacelike axis. They are calledmeridian surfaces of elliptic or hyperbolic type, respectively. We study thesesurfaces with respect to their Gauss map. We find all meridian surfaces ofelliptic or hyperbolic type with harmonic Gauss map and give the completeclassification of meridian surfaces of elliptic or hyperbolic type withpointwise 1-type Gauss map.

Meridian Surfaces of Elliptic or Hyperbolic Type with Pointwise 1-type Gauss Map in Minkowski 4-Space