Minimal ruled submanifolds in Minkowski space LmLm

In this article, we study minimal ruled submanifolds in Minkowski space LmLm which include the Riemannian and Lorentzian cases. As a result, we give a complete classification of minimal ruled submanifolds in Minkowski space LmLm with arbitrary dimension and codimension. As an immediate byproduct, we achieve the classification of all minimal surfaces in Minkowski space LmLm of arbitrary dimension.