Bulletin of the
Korean Mathematical Society BKMS

In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-space $\mathbb E^4_1$ with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces with pointwise 1-type Gauss map of the first kind. Then we prove that the spacelike rotational surface with flat normal bundle and pointwise 1-type Gauss map of the second kind is an open part of a spacelike 2-plane in $\mathbb E^4_1$.

Keywords: pointwise 1-type Gauss map, rotational surfaces, parallel mean curvature vector, normal bundle

MSC numbers: Primary 53B25, 53C55