SOME CLASSIFICATION RESULTS ON FINITE-TYPE RULED SUBMANIFOLDS IN A LORENTZ-MINKOWSKI SPACE

Abstract

Ruled submanifolds of finite type in Lorentz-Minkowski space are studied. We construct a new example of ruled submanifolds with degenerate rulings called a $BS$-kind ruled submanifold, which is of finite type. Also, it is determined by the restricted minimal polynomial of the shape operator associated with the mean curvature vector field.