Ruled surfaces of Weingarten type in Minkowski 3-space

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.

1. Wijarn Sodsiri

   Present address: Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, 3001, Leuven (Heverlee), Belgium

Authors and Affiliations

1. Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, 3001, Leuven (Heverlee), Belgium

   Franki Dillen

2. Department of Mathematics, Khon Kaen University, Khon Kaen, 40002, Thailand

   Wijarn Sodsiri

Corresponding author

Correspondence to Franki Dillen.

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