Extended \(B\)-scrolls and their Gauss maps (Q699634)

In the reviewed paper the authors study ruled surfaces in an \(m\)-dimensional Minkowski space \({\mathbb E}^m_1\). In such a space they define the extended \(B\)-scroll which is a generalization of usual \(B\)-scroll in 3-dimensional Minkowski space. Next they prove that a null scroll \(M\) in \({\mathbb E}^m_1\) has 1-type Gauss map if and only if \(M\) is an open part of an extended \(B\)-scroll. Finally, the authors easily obtain a complete classification of ruled surfaces with 1-type Gauss map in \({\mathbb E}^m_1\).