Ruled surfaces of Weingarten type in Minkowski 3-space

Abstract.

In this paper, we study ruled Weingarten surfaces M : x (s, t) = α(s) + tβ (s) in Minkowski 3-space on which there is a nontrivial functional relation between a pair of elements of the set {K, K _II , H, H _II }, where K is the Gaussian curvature, K _II is the second Gaussian curvature, H is the mean curvature, and H _II is the second mean curvature. We also study ruled linear Weingarten surfaces in Minkowski 3-space such that the linear combination aK _II  + bH + cH _II  + dK is constant along each ruling for some constants a, b, c, d with a ² + b ² + c ² ≠ 0.